Kazhdan-Lusztig polynomials of boolean elements

Details Kazhdan-Lusztig polynomials of boolean elements Kazhdan-Lusztig polynomials of boolean elements

2011-11-12

arxiv.org/abs/1111.2945v1

Mathematics

Combinatorics

23 pages, 4 Figures

Scientific paper

We give closed combinatorial product formulas for Kazhdan-Lusztig poynomials
and their parabolic analogue of type q in the case of boolean elements,
introduced in [M. Marietti, Boolean elements in Kazhdan-Lusztig theory, J.
Algebra 295 (2006)], in Coxeter groups whose Coxeter graph is a tree.

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