atlas::cartanclass::Fiber Class Reference

#include <cartanclass.h>

Collaboration diagram for atlas::cartanclass::Fiber:

[legend]List of all members.

Public Member Functions
	Fiber ()
	Fiber (const rootdata::RootDatum &, const latticetypes::LatticeMatrix &)
virtual	~Fiber ()
	Fiber (const Fiber &)
Fiber &	operator= (const Fiber &)
void	swap (Fiber &)
const latticetypes::ComponentSubquotient &	adjointFiberGroup () const
size_t	adjointFiberRank () const
unsigned long	adjointFiberSize () const
void	compactRootSet (rootdata::RootSet &, unsigned long) const
const rootdata::RootSet &	complexRootSet () const
const latticetypes::ComponentSubquotient &	fiberGroup () const
size_t	fiberRank () const
unsigned long	fiberSize () const
void	grading (gradings::Grading &, unsigned long) const
unsigned long	gradingRep (const gradings::Grading &) const
const rootdata::RootSet &	imaginaryRootSet () const
const latticetypes::LatticeMatrix &	involution () const
void	mAlpha (latticetypes::Component &, const rootdata::Root &) const
size_t	minusRank () const
void	noncompactRootSet (rootdata::RootSet &, unsigned long) const
size_t	numRealForms () const
size_t	plusRank () const
const partition::Partition &	realFormPartition () const
const rootdata::RootSet &	realRootSet () const
rootdata::RootNbr	rootInvolution (rootdata::RootNbr j) const
const rootdata::RootList &	simpleImaginary () const
const partition::Partition &	strongReal (size_t j) const
const StrongRealFormRep &	strongRepresentative (size_t rf) const
unsigned long	toAdjoint (unsigned long) const
unsigned long	toWeakReal (unsigned long, size_t) const
const tori::RealTorus &	torus () const
const partition::Partition &	weakReal () const
Protected Attributes
tori::RealTorus *	d_torus
rootdata::RootSet	d_complex
rootdata::RootSet	d_imaginary
rootdata::RootSet	d_real
rootdata::RootList	d_simpleImaginary
setutils::Permutation	d_rootInvolution
latticetypes::ComponentSubquotient	d_fiberGroup
latticetypes::ComponentSubquotient	d_adjointFiberGroup
latticetypes::ComponentMap	d_toAdjoint
latticetypes::ComponentSubspace	d_gradingGroup
latticetypes::ComponentList	d_mAlpha
latticetypes::ComponentList	d_adjointMAlpha
gradings::Grading	d_baseGrading
gradings::GradingList	d_gradingShift
rootdata::RootSet	d_baseNoncompact
rootdata::RootSetList	d_noncompactShift
partition::Partition	d_weakReal
partition::Partition	d_realFormPartition
std::vector< partition::Partition >	d_strongReal
std::vector< StrongRealFormRep >	d_strongRealFormReps

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Constructor & Destructor Documentation

atlas::cartanclass::Fiber::Fiber (   )  [inline]

atlas::cartanclass::Fiber::Fiber (  const rootdata::RootDatum &  , const latticetypes::LatticeMatrix &  )

atlas::cartanclass::Fiber::~Fiber (   )  [virtual]

atlas::cartanclass::Fiber::Fiber (  const Fiber &   )

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Member Function Documentation

const latticetypes::ComponentSubquotient& atlas::cartanclass::Fiber::adjointFiberGroup (   )  const [inline]

size_t atlas::cartanclass::Fiber::adjointFiberRank (   )  const [inline]

unsigned long atlas::cartanclass::Fiber::adjointFiberSize (   )  const [inline]

void atlas::cartanclass::Fiber::compactRootSet (  rootdata::RootSet &  , unsigned  long )  const

const rootdata::RootSet& atlas::cartanclass::Fiber::complexRootSet (   )  const [inline]

const latticetypes::ComponentSubquotient& atlas::cartanclass::Fiber::fiberGroup (   )  const [inline]

size_t atlas::cartanclass::Fiber::fiberRank (   )  const [inline]

unsigned long atlas::cartanclass::Fiber::fiberSize (   )  const [inline]

void atlas::cartanclass::Fiber::grading (  gradings::Grading &  , unsigned  long )  const

unsigned long atlas::cartanclass::Fiber::gradingRep (  const gradings::Grading &   )  const

const rootdata::RootSet& atlas::cartanclass::Fiber::imaginaryRootSet (   )  const [inline]

const latticetypes::LatticeMatrix & atlas::cartanclass::Fiber::involution (   )  const

void atlas::cartanclass::Fiber::mAlpha (  latticetypes::Component &  , const rootdata::Root &  )  const

size_t atlas::cartanclass::Fiber::minusRank (   )  const

void atlas::cartanclass::Fiber::noncompactRootSet (  rootdata::RootSet &  , unsigned  long )  const

size_t atlas::cartanclass::Fiber::numRealForms (   )  const [inline]

Fiber & atlas::cartanclass::Fiber::operator= (  const Fiber &   )

size_t atlas::cartanclass::Fiber::plusRank (   )  const

const partition::Partition& atlas::cartanclass::Fiber::realFormPartition (   )  const [inline]

const rootdata::RootSet& atlas::cartanclass::Fiber::realRootSet (   )  const [inline]

rootdata::RootNbr atlas::cartanclass::Fiber::rootInvolution (  rootdata::RootNbr  j  )  const [inline]

const rootdata::RootList& atlas::cartanclass::Fiber::simpleImaginary (   )  const [inline]

const partition::Partition& atlas::cartanclass::Fiber::strongReal (  size_t  j  )  const [inline]

const StrongRealFormRep& atlas::cartanclass::Fiber::strongRepresentative (  size_t  rf  )  const [inline]

void atlas::cartanclass::Fiber::swap (  Fiber &   )

unsigned long atlas::cartanclass::Fiber::toAdjoint (  unsigned  long  )  const

const tori::RealTorus& atlas::cartanclass::Fiber::torus (   )  const [inline]

unsigned long atlas::cartanclass::Fiber::toWeakReal (  unsigned  long, size_t  )  const

const partition::Partition& atlas::cartanclass::Fiber::weakReal (   )  const [inline]

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Member Data Documentation

latticetypes::ComponentSubquotient atlas::cartanclass::Fiber::d_adjointFiberGroup [protected]

latticetypes::ComponentList atlas::cartanclass::Fiber::d_adjointMAlpha [protected]

gradings::Grading atlas::cartanclass::Fiber::d_baseGrading [protected]

rootdata::RootSet atlas::cartanclass::Fiber::d_baseNoncompact [protected]

rootdata::RootSet atlas::cartanclass::Fiber::d_complex [protected]

latticetypes::ComponentSubquotient atlas::cartanclass::Fiber::d_fiberGroup [protected]

latticetypes::ComponentSubspace atlas::cartanclass::Fiber::d_gradingGroup [protected]

gradings::GradingList atlas::cartanclass::Fiber::d_gradingShift [protected]

rootdata::RootSet atlas::cartanclass::Fiber::d_imaginary [protected]

latticetypes::ComponentList atlas::cartanclass::Fiber::d_mAlpha [protected]

rootdata::RootSetList atlas::cartanclass::Fiber::d_noncompactShift [protected]

rootdata::RootSet atlas::cartanclass::Fiber::d_real [protected]

partition::Partition atlas::cartanclass::Fiber::d_realFormPartition [protected]

setutils::Permutation atlas::cartanclass::Fiber::d_rootInvolution [protected]

rootdata::RootList atlas::cartanclass::Fiber::d_simpleImaginary [protected]

std::vector<partition::Partition> atlas::cartanclass::Fiber::d_strongReal [protected]

std::vector<StrongRealFormRep> atlas::cartanclass::Fiber::d_strongRealFormReps [protected]

latticetypes::ComponentMap atlas::cartanclass::Fiber::d_toAdjoint [protected]

tori::RealTorus* atlas::cartanclass::Fiber::d_torus [protected]

partition::Partition atlas::cartanclass::Fiber::d_weakReal [protected]

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The documentation for this class was generated from the following files:

• sources/structure/cartanclass.h
• sources/structure/cartanclass.cpp

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