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arXiv:2010.03417 [math.CO]AbstractReferencesReviewsResources

Poincaré polynomial for fully commutative elements in the symmetric group

Sadek AL Harbat, Corinne Blondel

Published 2020-10-07Version 1

Let $W^c(A_n)$ be the set of fully commutative elements of the Coxeter group $W(A_n)$. Let $$ a_n(q)= \sum_{w \in W^c(A_n)} q^{l(w)} . $$ We compute $a_n(q)$.

Categories: math.CO, math.GR
Subjects: 05Axx, 20F55
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