Article ID Journal Published Year Pages File Type
4588122 Journal of Algebra 2008 16 Pages PDF
Abstract

We define a family of statistics over a generic finite Coxeter system indexed by subsets of its reflections set, and we study the corresponding generating functions, proving that they have a lot of interesting combinatorial properties. In particular, we prove equidistribution results, namely we investigate some conditions in order to have that different subsets have the same associated generating function. Furthermore, some previous results which hold for the symmetric group, are extended and generalized to any classical Weyl group.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory