English

On the affine Hecke category for $SL_3$

Representation Theory 2021-04-26 v3 Combinatorics

Abstract

We study the diagrammatic Hecke category associated with the affine Weyl group of type A~2\tilde{A}_2. More precisely we find a (surprisingly simple) basis for the Hom spaces between indecomposable objects, that we call indecomposable double leaves.

Keywords

Cite

@article{arxiv.2005.02647,
  title  = {On the affine Hecke category for $SL_3$},
  author = {Nicolas Libedinsky and Leonardo Patimo},
  journal= {arXiv preprint arXiv:2005.02647},
  year   = {2021}
}

Comments

33 pages, many figures, best viewed in color

R2 v1 2026-06-23T15:20:39.325Z