\section{atlas::cartanclass::Fiber Class Reference}
\label{classatlas_1_1cartanclass_1_1Fiber}\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
{\tt \#include $<$cartanclass.h$>$}

Collaboration diagram for atlas::cartanclass::Fiber:\begin{figure}[H]
\begin{center}
\leavevmode
\includegraphics[width=406pt]{classatlas_1_1cartanclass_1_1Fiber__coll__graph}
\end{center}
\end{figure}
\subsection*{Public Member Functions}
\begin{CompactItemize}
\item 
{\bf Fiber} ()
\item 
{\bf Fiber} (const {\bf rootdata::Root\-Datum} \&, const {\bf latticetypes::Lattice\-Matrix} \&)
\item 
virtual {\bf $\sim$Fiber} ()
\item 
{\bf Fiber} (const {\bf Fiber} \&)
\item 
{\bf Fiber} \& {\bf operator=} (const {\bf Fiber} \&)
\item 
void {\bf swap} ({\bf Fiber} \&)
\item 
const {\bf latticetypes::Component\-Subquotient} \& {\bf adjoint\-Fiber\-Group} () const 
\item 
size\_\-t {\bf adjoint\-Fiber\-Rank} () const 
\item 
unsigned long {\bf adjoint\-Fiber\-Size} () const 
\item 
void {\bf compact\-Root\-Set} ({\bf rootdata::Root\-Set} \&, unsigned long) const 
\item 
const {\bf rootdata::Root\-Set} \& {\bf complex\-Root\-Set} () const 
\item 
const {\bf latticetypes::Component\-Subquotient} \& {\bf fiber\-Group} () const 
\item 
size\_\-t {\bf fiber\-Rank} () const 
\item 
unsigned long {\bf fiber\-Size} () const 
\item 
void {\bf grading} ({\bf gradings::Grading} \&, unsigned long) const 
\item 
unsigned long {\bf grading\-Rep} (const {\bf gradings::Grading} \&) const 
\item 
const {\bf rootdata::Root\-Set} \& {\bf imaginary\-Root\-Set} () const 
\item 
const {\bf latticetypes::Lattice\-Matrix} \& {\bf involution} () const 
\item 
void {\bf m\-Alpha} ({\bf latticetypes::Component} \&, const {\bf rootdata::Root} \&) const 
\item 
size\_\-t {\bf minus\-Rank} () const 
\item 
void {\bf noncompact\-Root\-Set} ({\bf rootdata::Root\-Set} \&, unsigned long) const 
\item 
size\_\-t {\bf num\-Real\-Forms} () const 
\item 
size\_\-t {\bf plus\-Rank} () const 
\item 
const {\bf partition::Partition} \& {\bf real\-Form\-Partition} () const 
\item 
const {\bf rootdata::Root\-Set} \& {\bf real\-Root\-Set} () const 
\item 
{\bf rootdata::Root\-Nbr} {\bf root\-Involution} ({\bf rootdata::Root\-Nbr} j) const 
\item 
const {\bf rootdata::Root\-List} \& {\bf simple\-Imaginary} () const 
\item 
const {\bf partition::Partition} \& {\bf strong\-Real} (size\_\-t j) const 
\item 
const {\bf Strong\-Real\-Form\-Rep} \& {\bf strong\-Representative} (size\_\-t rf) const 
\item 
unsigned long {\bf to\-Adjoint} (unsigned long) const 
\item 
unsigned long {\bf to\-Weak\-Real} (unsigned long, size\_\-t) const 
\item 
const {\bf tori::Real\-Torus} \& {\bf torus} () const 
\item 
const {\bf partition::Partition} \& {\bf weak\-Real} () const 
\end{CompactItemize}
\subsection*{Protected Attributes}
\begin{CompactItemize}
\item 
{\bf tori::Real\-Torus} $\ast$ {\bf d\_\-torus}
\item 
{\bf rootdata::Root\-Set} {\bf d\_\-complex}
\item 
{\bf rootdata::Root\-Set} {\bf d\_\-imaginary}
\item 
{\bf rootdata::Root\-Set} {\bf d\_\-real}
\item 
{\bf rootdata::Root\-List} {\bf d\_\-simple\-Imaginary}
\item 
{\bf setutils::Permutation} {\bf d\_\-root\-Involution}
\item 
{\bf latticetypes::Component\-Subquotient} {\bf d\_\-fiber\-Group}
\item 
{\bf latticetypes::Component\-Subquotient} {\bf d\_\-adjoint\-Fiber\-Group}
\item 
{\bf latticetypes::Component\-Map} {\bf d\_\-to\-Adjoint}
\item 
{\bf latticetypes::Component\-Subspace} {\bf d\_\-grading\-Group}
\item 
{\bf latticetypes::Component\-List} {\bf d\_\-m\-Alpha}
\item 
{\bf latticetypes::Component\-List} {\bf d\_\-adjoint\-MAlpha}
\item 
{\bf gradings::Grading} {\bf d\_\-base\-Grading}
\item 
{\bf gradings::Grading\-List} {\bf d\_\-grading\-Shift}
\item 
{\bf rootdata::Root\-Set} {\bf d\_\-base\-Noncompact}
\item 
{\bf rootdata::Root\-Set\-List} {\bf d\_\-noncompact\-Shift}
\item 
{\bf partition::Partition} {\bf d\_\-weak\-Real}
\item 
{\bf partition::Partition} {\bf d\_\-real\-Form\-Partition}
\item 
std::vector$<$ {\bf partition::Partition} $>$ {\bf d\_\-strong\-Real}
\item 
std::vector$<$ {\bf Strong\-Real\-Form\-Rep} $>$ {\bf d\_\-strong\-Real\-Form\-Reps}
\end{CompactItemize}


\subsection{Constructor \& Destructor Documentation}
\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!Fiber@{Fiber}}
\index{Fiber@{Fiber}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}atlas::cartanclass::Fiber::Fiber ()\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_74ebcd66a691fecc2bf2a2db84f55f48}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!Fiber@{Fiber}}
\index{Fiber@{Fiber}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}atlas::cartanclass::Fiber::Fiber (const {\bf rootdata::Root\-Datum} \&, const {\bf latticetypes::Lattice\-Matrix} \&)}\label{classatlas_1_1cartanclass_1_1Fiber_ab50ff577d7fccea012beb58a0089f72}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!~Fiber@{$\sim$Fiber}}
\index{~Fiber@{$\sim$Fiber}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}atlas::cartanclass::Fiber::$\sim$Fiber ()\hspace{0.3cm}{\tt  [virtual]}}\label{classatlas_1_1cartanclass_1_1Fiber_2013b4aa5661c95e3acc1cb18616012f}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!Fiber@{Fiber}}
\index{Fiber@{Fiber}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}atlas::cartanclass::Fiber::Fiber (const {\bf Fiber} \&)}\label{classatlas_1_1cartanclass_1_1Fiber_ff33078509f8f93edc0b34a13f6b18e9}




\subsection{Member Function Documentation}
\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!adjointFiberGroup@{adjointFiberGroup}}
\index{adjointFiberGroup@{adjointFiberGroup}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf latticetypes::Component\-Subquotient}\& atlas::cartanclass::Fiber::adjoint\-Fiber\-Group () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_a9523543f2a455d13694d89d0119dbb0}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!adjointFiberRank@{adjointFiberRank}}
\index{adjointFiberRank@{adjointFiberRank}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}size\_\-t atlas::cartanclass::Fiber::adjoint\-Fiber\-Rank () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_50c79c7f5e142d173ecf995c938cac84}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!adjointFiberSize@{adjointFiberSize}}
\index{adjointFiberSize@{adjointFiberSize}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}unsigned long atlas::cartanclass::Fiber::adjoint\-Fiber\-Size () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_e5c8b1dddf6d636f6886442d78eda6f7}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!compactRootSet@{compactRootSet}}
\index{compactRootSet@{compactRootSet}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}void atlas::cartanclass::Fiber::compact\-Root\-Set ({\bf rootdata::Root\-Set} \&, unsigned {\em long}) const}\label{classatlas_1_1cartanclass_1_1Fiber_7fcf628b6cdad79a1f2ac9cb1526ca11}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!complexRootSet@{complexRootSet}}
\index{complexRootSet@{complexRootSet}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf rootdata::Root\-Set}\& atlas::cartanclass::Fiber::complex\-Root\-Set () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_8ae23bf98a70bf535efce92792d0610a}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!fiberGroup@{fiberGroup}}
\index{fiberGroup@{fiberGroup}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf latticetypes::Component\-Subquotient}\& atlas::cartanclass::Fiber::fiber\-Group () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_ed1136ca405dc5f64a6d50c74cb782ff}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!fiberRank@{fiberRank}}
\index{fiberRank@{fiberRank}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}size\_\-t atlas::cartanclass::Fiber::fiber\-Rank () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_6e8a51f258114cbf58f44e487641de13}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!fiberSize@{fiberSize}}
\index{fiberSize@{fiberSize}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}unsigned long atlas::cartanclass::Fiber::fiber\-Size () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_d3225a740995732dca5e54b21708d375}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!grading@{grading}}
\index{grading@{grading}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}void atlas::cartanclass::Fiber::grading ({\bf gradings::Grading} \&, unsigned {\em long}) const}\label{classatlas_1_1cartanclass_1_1Fiber_1c4827e7309c23e9e6aebb5dc54db99d}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!gradingRep@{gradingRep}}
\index{gradingRep@{gradingRep}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}unsigned long atlas::cartanclass::Fiber::grading\-Rep (const {\bf gradings::Grading} \&) const}\label{classatlas_1_1cartanclass_1_1Fiber_8481c8ad7555139d50907bcf725843e1}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!imaginaryRootSet@{imaginaryRootSet}}
\index{imaginaryRootSet@{imaginaryRootSet}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf rootdata::Root\-Set}\& atlas::cartanclass::Fiber::imaginary\-Root\-Set () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_0eb46be415c63dac49695e7bb7fd4073}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!involution@{involution}}
\index{involution@{involution}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf latticetypes::Lattice\-Matrix} \& atlas::cartanclass::Fiber::involution () const}\label{classatlas_1_1cartanclass_1_1Fiber_555a1a980e932fc67d9d28af4251591f}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!mAlpha@{mAlpha}}
\index{mAlpha@{mAlpha}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}void atlas::cartanclass::Fiber::m\-Alpha ({\bf latticetypes::Component} \&, const {\bf rootdata::Root} \&) const}\label{classatlas_1_1cartanclass_1_1Fiber_1a03e1524b2b82c39b4c90f029605509}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!minusRank@{minusRank}}
\index{minusRank@{minusRank}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}size\_\-t atlas::cartanclass::Fiber::minus\-Rank () const}\label{classatlas_1_1cartanclass_1_1Fiber_108eecc3ecaae10cd2ccd4f242be6fcc}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!noncompactRootSet@{noncompactRootSet}}
\index{noncompactRootSet@{noncompactRootSet}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}void atlas::cartanclass::Fiber::noncompact\-Root\-Set ({\bf rootdata::Root\-Set} \&, unsigned {\em long}) const}\label{classatlas_1_1cartanclass_1_1Fiber_3346db699966bb2a654b858ec9f731a5}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!numRealForms@{numRealForms}}
\index{numRealForms@{numRealForms}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}size\_\-t atlas::cartanclass::Fiber::num\-Real\-Forms () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_4a2398925acd4bcbf085dc3014ecb1e3}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!operator=@{operator=}}
\index{operator=@{operator=}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf Fiber} \& atlas::cartanclass::Fiber::operator= (const {\bf Fiber} \&)}\label{classatlas_1_1cartanclass_1_1Fiber_f88a0fd55094ab714149d304b1a7a875}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!plusRank@{plusRank}}
\index{plusRank@{plusRank}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}size\_\-t atlas::cartanclass::Fiber::plus\-Rank () const}\label{classatlas_1_1cartanclass_1_1Fiber_b853ed6492ca91d1a4e111bf24fc0ead}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!realFormPartition@{realFormPartition}}
\index{realFormPartition@{realFormPartition}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf partition::Partition}\& atlas::cartanclass::Fiber::real\-Form\-Partition () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_bbdf1d49051083f4d71e156c985db6fd}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!realRootSet@{realRootSet}}
\index{realRootSet@{realRootSet}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf rootdata::Root\-Set}\& atlas::cartanclass::Fiber::real\-Root\-Set () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_21c5a0df0fcba0f663335f7b43b41d4b}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!rootInvolution@{rootInvolution}}
\index{rootInvolution@{rootInvolution}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf rootdata::Root\-Nbr} atlas::cartanclass::Fiber::root\-Involution ({\bf rootdata::Root\-Nbr} {\em j}) const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_e0fadeb25c02d6b16de37d38fa202962}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!simpleImaginary@{simpleImaginary}}
\index{simpleImaginary@{simpleImaginary}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf rootdata::Root\-List}\& atlas::cartanclass::Fiber::simple\-Imaginary () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_26edb5476d546c6766f29b4ca0a32b93}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!strongReal@{strongReal}}
\index{strongReal@{strongReal}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf partition::Partition}\& atlas::cartanclass::Fiber::strong\-Real (size\_\-t {\em j}) const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_efeb348846927697f7b60fd556d9ef41}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!strongRepresentative@{strongRepresentative}}
\index{strongRepresentative@{strongRepresentative}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf Strong\-Real\-Form\-Rep}\& atlas::cartanclass::Fiber::strong\-Representative (size\_\-t {\em rf}) const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_6c8c5df92b9a13c61a562bc47a699aad}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!swap@{swap}}
\index{swap@{swap}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}void atlas::cartanclass::Fiber::swap ({\bf Fiber} \&)}\label{classatlas_1_1cartanclass_1_1Fiber_cc1923d58872b84c4f701470be0aba1f}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!toAdjoint@{toAdjoint}}
\index{toAdjoint@{toAdjoint}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}unsigned long atlas::cartanclass::Fiber::to\-Adjoint (unsigned {\em long}) const}\label{classatlas_1_1cartanclass_1_1Fiber_f42f5a25e8dbe28eb53e240235f89d85}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!torus@{torus}}
\index{torus@{torus}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf tori::Real\-Torus}\& atlas::cartanclass::Fiber::torus () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_bc35c20050ecca3d7d90d6e85988a8b9}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!toWeakReal@{toWeakReal}}
\index{toWeakReal@{toWeakReal}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}unsigned long atlas::cartanclass::Fiber::to\-Weak\-Real (unsigned {\em long}, size\_\-t) const}\label{classatlas_1_1cartanclass_1_1Fiber_038ba9660b660bae5bd1fabd6b4046fe}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!weakReal@{weakReal}}
\index{weakReal@{weakReal}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}const {\bf partition::Partition}\& atlas::cartanclass::Fiber::weak\-Real () const\hspace{0.3cm}{\tt  [inline]}}\label{classatlas_1_1cartanclass_1_1Fiber_eda3ae30358f5bd3e2b8d1fb0e6b1f03}




\subsection{Member Data Documentation}
\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_adjointFiberGroup@{d\_\-adjointFiberGroup}}
\index{d_adjointFiberGroup@{d\_\-adjointFiberGroup}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf latticetypes::Component\-Subquotient} {\bf atlas::cartanclass::Fiber::d\_\-adjoint\-Fiber\-Group}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_9e1d8f831c7e8729356194df3b9d1d7b}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_adjointMAlpha@{d\_\-adjointMAlpha}}
\index{d_adjointMAlpha@{d\_\-adjointMAlpha}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf latticetypes::Component\-List} {\bf atlas::cartanclass::Fiber::d\_\-adjoint\-MAlpha}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_500c9731d0bbe0d9c0cc719bd48de613}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_baseGrading@{d\_\-baseGrading}}
\index{d_baseGrading@{d\_\-baseGrading}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf gradings::Grading} {\bf atlas::cartanclass::Fiber::d\_\-base\-Grading}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_a5205f6978cf1c9c4c0ba76e102b62b2}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_baseNoncompact@{d\_\-baseNoncompact}}
\index{d_baseNoncompact@{d\_\-baseNoncompact}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf rootdata::Root\-Set} {\bf atlas::cartanclass::Fiber::d\_\-base\-Noncompact}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_aefda50649f98b6eb78c4e239f2fdf4b}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_complex@{d\_\-complex}}
\index{d_complex@{d\_\-complex}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf rootdata::Root\-Set} {\bf atlas::cartanclass::Fiber::d\_\-complex}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_484ac14653698f1cd2320cdb46d7c461}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_fiberGroup@{d\_\-fiberGroup}}
\index{d_fiberGroup@{d\_\-fiberGroup}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf latticetypes::Component\-Subquotient} {\bf atlas::cartanclass::Fiber::d\_\-fiber\-Group}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_c6e777683d54452d14410655b8035b40}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_gradingGroup@{d\_\-gradingGroup}}
\index{d_gradingGroup@{d\_\-gradingGroup}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf latticetypes::Component\-Subspace} {\bf atlas::cartanclass::Fiber::d\_\-grading\-Group}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_cf95b2fb2743b1eb9e98a74f87d7993d}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_gradingShift@{d\_\-gradingShift}}
\index{d_gradingShift@{d\_\-gradingShift}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf gradings::Grading\-List} {\bf atlas::cartanclass::Fiber::d\_\-grading\-Shift}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_cf26830e94f59966ef58b1bffcd0f0c3}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_imaginary@{d\_\-imaginary}}
\index{d_imaginary@{d\_\-imaginary}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf rootdata::Root\-Set} {\bf atlas::cartanclass::Fiber::d\_\-imaginary}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_2b396b87e0da760ba0d5c96626c4cfbf}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_mAlpha@{d\_\-mAlpha}}
\index{d_mAlpha@{d\_\-mAlpha}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf latticetypes::Component\-List} {\bf atlas::cartanclass::Fiber::d\_\-m\-Alpha}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_96ba0a40c8d4e486f1213782fc30cdd7}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_noncompactShift@{d\_\-noncompactShift}}
\index{d_noncompactShift@{d\_\-noncompactShift}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf rootdata::Root\-Set\-List} {\bf atlas::cartanclass::Fiber::d\_\-noncompact\-Shift}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_332dd363d5a81373319d9549c2904d44}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_real@{d\_\-real}}
\index{d_real@{d\_\-real}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf rootdata::Root\-Set} {\bf atlas::cartanclass::Fiber::d\_\-real}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_efbc4b6bb434733dadebedc0eb293b85}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_realFormPartition@{d\_\-realFormPartition}}
\index{d_realFormPartition@{d\_\-realFormPartition}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf partition::Partition} {\bf atlas::cartanclass::Fiber::d\_\-real\-Form\-Partition}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_bebad8cdc5480cd9701e84bd980482e8}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_rootInvolution@{d\_\-rootInvolution}}
\index{d_rootInvolution@{d\_\-rootInvolution}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf setutils::Permutation} {\bf atlas::cartanclass::Fiber::d\_\-root\-Involution}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_18f73caefc9c59f6028ccb9f4e0d2845}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_simpleImaginary@{d\_\-simpleImaginary}}
\index{d_simpleImaginary@{d\_\-simpleImaginary}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf rootdata::Root\-List} {\bf atlas::cartanclass::Fiber::d\_\-simple\-Imaginary}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_13505e6320c5efc2773c7f92de032631}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_strongReal@{d\_\-strongReal}}
\index{d_strongReal@{d\_\-strongReal}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}std::vector$<${\bf partition::Partition}$>$ {\bf atlas::cartanclass::Fiber::d\_\-strong\-Real}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_e40440ff6b938ae951f7a5fc15af352f}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_strongRealFormReps@{d\_\-strongRealFormReps}}
\index{d_strongRealFormReps@{d\_\-strongRealFormReps}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}std::vector$<${\bf Strong\-Real\-Form\-Rep}$>$ {\bf atlas::cartanclass::Fiber::d\_\-strong\-Real\-Form\-Reps}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_28ad3716b2b7d18185bb56c438f17c38}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_toAdjoint@{d\_\-toAdjoint}}
\index{d_toAdjoint@{d\_\-toAdjoint}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf latticetypes::Component\-Map} {\bf atlas::cartanclass::Fiber::d\_\-to\-Adjoint}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_f3f21cd0e8e987b074581530cf6d9652}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_torus@{d\_\-torus}}
\index{d_torus@{d\_\-torus}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf tori::Real\-Torus}$\ast$ {\bf atlas::cartanclass::Fiber::d\_\-torus}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_460cc58fcf196645e5cebfa4f515d45d}


\index{atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}!d_weakReal@{d\_\-weakReal}}
\index{d_weakReal@{d\_\-weakReal}!atlas::cartanclass::Fiber@{atlas::cartanclass::Fiber}}
\subsubsection{\setlength{\rightskip}{0pt plus 5cm}{\bf partition::Partition} {\bf atlas::cartanclass::Fiber::d\_\-weak\-Real}\hspace{0.3cm}{\tt  [protected]}}\label{classatlas_1_1cartanclass_1_1Fiber_adacd377b6ffc8d28b6468a75aa75fa9}




The documentation for this class was generated from the following files:\begin{CompactItemize}
\item 
sources/structure/{\bf cartanclass.h}\item 
sources/structure/{\bf cartanclass.cpp}\end{CompactItemize}
