The tables contain the output of the atlas software package, of the following commands
The directory structure is precise, and somewhat elaborate.
For example:
E6: tables for E6
E6/simplyConnected: simply connected complex group
E6/simplyConnected/splitInnerClass: groups in this inner class (split and K=F4)
/tables/representations/E6/adjoint/splitInnerClass/split/dualT1D5:
block of representations of simply connected split group E6, dual to (adjoint) Hermitian symmetric group
(with K=T1D5)
In each hiearchy are files blocksizes and kgb
at the appropriate level.
For example, for the block of the simply connected split group of type E6, dual to T1D5 (Hermitian symmetric):
E6/simplyConnected/splitInnerClass/blocksizes for the sizes of the blocks
E6/simplyConnected/splitInnerClass/split/kgb
for the K\G/B orbits
E6/simplyConnected/splitInnerClass/split/dualT1D5/block
Tables of representation theory for type:
A1 (complete)
B2 (complete)
E6 (complete)
E7 (complete)
E8 (partial)
Send corrections to jda@math.umd.edu