Poincare series of subsets of affine Weyl groups

Details Poincare series of subsets of affine Weyl groups Poincare series of subsets of affine Weyl groups

2006-03-08

arxiv.org/abs/math/0603175v1

Mathematics

Combinatorics

7 pages

Scientific paper

In this note, we identify a natural class of subsets of affine Weyl groups
whose Poincare series are rational functions. This class includes the sets of
minimal coset representatives of reflection subgroups. As an application, we
construct a generalization of the classical length-descent generating function,
and prove its rationality.

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