(Co)Minuscule Hecke categories

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2026-05-01 Epub Date: 2026-02-18 DOI:10.1016/j.aim.2026.110866

Joseph Baine

引用次数: 0

Abstract

We determine the p-Kazhdan–Lusztig bases for antispherical (co)minuscule Hecke categories in all characteristics, and for spherical (co)minuscule Hecke categories in good characteristic. This is achieved using geometric and diagrammatic methods. The 2-Kazhdan–Lusztig bases of antispherical minuscule Hecke categories exhibit extremely pathological behaviour. The notions of p-small resolutions and p-tight elements are introduced and conjecturally explain this behaviour.

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(Co)小类别

我们确定了具有所有特征的反球面（co）极小Hecke范畴和具有良好特征的球面（co）极小Hecke范畴的p-Kazhdan-Lusztig基。这是通过几何和图解方法实现的。反球面极小Hecke类的2-Kazhdan-Lusztig碱基表现出极其病态的行为。引入了p小分辨率和p紧元素的概念，并从理论上解释了这种行为。

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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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.