Lusztig's $a$-function for Coxeter groups with complete graphs

Details Lusztig's $a$-function for Coxeter groups with complete graphs Lusztig's $a$-function for Coxeter groups with complete graphs

2011-06-13

arxiv.org/abs/1106.2424v1

Mathematics

Quantum Algebra

14 pages

Scientific paper

We show that Lusztig's $a$-function of a Coxeter group is bounded if the
Coxeter group has a complete graph (i.e. any two vertices are joined) and the
cardinalities of finite parabolic subgroups of the Coxeter group have a common
upper bound.

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