Some applications of CHEVIE to the theory of algebraic groups

Details Some applications of CHEVIE to the theory of algebraic groups Some applications of CHEVIE to the theory of algebraic groups

2010-08-09

arxiv.org/abs/1008.1464v5

Mathematics

Representation Theory

Final version, 31 pages; to appear in Carpath. J. Math

Scientific paper

The computer algebra system CHEVIE is designed to facilitate computations
with various combinatorial structures arising in Lie theory, like finite
Coxeter groups and Hecke algebras. We discuss some recent examples where CHEVIE
has been helpful in the theory of algebraic groups, in questions related to
unipotent classes, the Springer correspondence and Lusztig families.

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