厄密对称对的反球Hecke范畴

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-09-02 DOI:10.1016/j.aim.2025.110501

Chris Bowman , Maud De Visscher , Amit Hazi , Emily Norton

引用次数: 0

摘要

我们计算了厄密对称对的p-Kazhdan-Lusztig多项式，并证明了相应的反球Hecke范畴是标准的Koszul。我们证明了组合不变性猜想可以提升到这些Hecke范畴的子商之间的分阶Morita等价的水平。

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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The anti-spherical Hecke categories for Hermitian symmetric pairs

We calculate the p-Kazhdan–Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories are standard Koszul. We prove that the combinatorial invariance conjecture can be lifted to the level of graded Morita equivalences between subquotients of these Hecke categories.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.