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2012 / March Volume 7 No.1
Lusztig’s $A$-Function For Coxeter Groups With Complete Graphs
Published Date
2012 / March
Title
Lusztig’s $A$-Function For Coxeter Groups With Complete Graphs
Author
Nanhua Xi
Keyword
Coxeter group, a-function, cell, Coxeter group, $a$-function, cell
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Pagination
71-90
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.
AMS Subject
Classification
20F55, 20C08
Received
2011-08-25
Accepted
2011-08-25
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