准抛物卡兹丹-卢斯齐基和反射子群

Pub Date : 2024-07-22 DOI:10.1016/j.jpaa.2024.107777

Zachary Carlini, Yaolong Shen

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引用次数: 0

摘要

最近，Wang 和第二作者为与 B 型韦尔群相关联的 Hecke 代数的准珀尔贴模块构造了一个条形内卷和规范基，其中基的参数是 B 型韦尔群中准抛物面反射子群的左余弦。在本文中，我们提供了这些构造的另一种方法，然后将这些构造推广到包含作为抛物面子群的 B 型韦尔群乘积的 Coxeter 群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups

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 these constructions to Coxeter groups which contain a product of type B Weyl groups as a parabolic subgroup.

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