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arXiv · 2305.12290

Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups

Zachary Carlini·Yaolong Shen
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Abstract

Recently, Wang and the second author constructed a bar involution and canonical basis for a quasi-permutation module of the Hecke algebra associated to a type B Weyl group $W$, where the basis is parameterized by left cosets of a quasi-parabolic reflection subgroup in $W$. In this paper we provide an alternative approach to these constructions, and then generalize to Coxeter groups which contain a product of type B Weyl groups as a parabolic subgroup.

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BibTeXRIS

Zachary Carlini, Yaolong Shen. 2023-05-20. Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups. https://doi.org/10.1016/j.jpaa.2024.107777

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