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arXiv · 2409.16131

(Co)Minuscule Hecke categories

Joseph Baine
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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 cominuscule 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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Joseph Baine. 2024-09-24. (Co)Minuscule Hecke categories. https://arxiv.org/abs/2409.16131

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