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

Ben Mills

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

Representation Theory 2026-03-23 v2 Combinatorics

Authors: Ben Mills

Abstract

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.

Keywords

Kazhdan-Lusztig combinatorics Hecke category Ext-quiver isotropic Grassmannian Temperley-Lieb diagrammatics

Cite

@article{arxiv.2601.15426,
  title  = {Isotropic meta Kazhdan--Lusztig combinatorics I: Ext-quiver presentation for the Hecke category},
  author = {Ben Mills},
  journal= {arXiv preprint arXiv:2601.15426},
  year   = {2026}
}

Comments

Minor typos fixed. arXiv admin note: text overlap with arXiv:2309.13695 by other authors

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