A diamond lemma for Hecke-type algebras
Representation Theory
2021-08-27 v2
Abstract
In this paper we give a version of Bergman's diamond lemma which applies to certain monoidal categories presented by generators and relations. In particular, it applies to: the Coxeter presentation of the symmetric groups, the quiver Hecke algebras of Khovanov-Lauda-Rouquier, the Webster tensor product algebras, and various generalizations of these. We also give an extension of Manin-Schechtmann theory to non-reduced expressions.
Cite
@article{arxiv.1907.10571,
title = {A diamond lemma for Hecke-type algebras},
author = {Ben Elias},
journal= {arXiv preprint arXiv:1907.10571},
year = {2021}
}
Comments
Expanded addenda, minor changes to improve exposition