Lusztig’s $A$-Function For Coxeter Groups With Complete Graphs
by Nanhua Xi  

Vol. 7 No. 1 (2012) P.71~P.90

ABSTRACT

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.

KEYWORDS
Coxeter group, $a$-function, cell

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20F55, 20C08

MILESTONES

Received: 2011-04-01
Revised : 2011-08-25
Accepted: 2011-08-25

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