English

Folding with Soergel bimodules

Representation Theory 2016-04-05 v2

Abstract

We give a gentle introduction to the concept of folding. That is, we provide an elementary discussion of equivariant categories, their weighted Grothendieck groups, and the technical aspects of computing with them. We then perform the computations required to confirm that quasi-split Hecke algebras with unequal parameters are categorified by equivariant Soergel bimodules, in almost every case.

Keywords

Cite

@article{arxiv.1602.08449,
  title  = {Folding with Soergel bimodules},
  author = {Ben Elias},
  journal= {arXiv preprint arXiv:1602.08449},
  year   = {2016}
}

Comments

minor revisions, and references added; 47 pages, many figures, color viewing essential for computations

R2 v1 2026-06-22T12:58:51.149Z