English

A homomorphism between Bott-Samelson bimodules

Representation Theory 2021-07-28 v2

Abstract

In the previous paper, we defined a new category which categorifies the Hecke algebra. This is a generalization of the theory of Soergel bimodules. To prove theorems, the existences of certain homomorphisms between Bott-Samelson bimodules are assumed. In this paper, we prove this assumption. We only assume the vanishing of certain two-colored quantum binomial coefficients.

Keywords

Cite

@article{arxiv.2012.09414,
  title  = {A homomorphism between Bott-Samelson bimodules},
  author = {Noriyuki Abe},
  journal= {arXiv preprint arXiv:2012.09414},
  year   = {2021}
}

Comments

21 pages

R2 v1 2026-06-23T21:02:23.612Z