Isotropic meta Kazhdan--Lusztig combinatorics I: Ext-quiver presentation for the Hecke category

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1. Verfasser: Mills, Ben
Format: Preprint
Veröffentlicht: 2026
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author Mills, Ben
author_facet Mills, Ben
contents We provide an ${\rm Ext}$-quiver and relations presentation for the basic algebra of the anti-spherical Hecke categories of isotropic Grassmannians, $H_{(D_n, A_{n-1})}$, in terms of cup-cap meta Kazhdan--Lusztig combinatorics and Temperley--Lieb diagrammatics.
format Preprint
id arxiv_https___arxiv_org_abs_2601_15426
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Isotropic meta Kazhdan--Lusztig combinatorics I: Ext-quiver presentation for the Hecke category
Mills, Ben
Representation Theory
Combinatorics
We provide an ${\rm Ext}$-quiver and relations presentation for the basic algebra of the anti-spherical Hecke categories of isotropic Grassmannians, $H_{(D_n, A_{n-1})}$, in terms of cup-cap meta Kazhdan--Lusztig combinatorics and Temperley--Lieb diagrammatics.
title Isotropic meta Kazhdan--Lusztig combinatorics I: Ext-quiver presentation for the Hecke category
topic Representation Theory
Combinatorics
url https://arxiv.org/abs/2601.15426