A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
Representation Theory
2017-03-31 v2
Abstract
The affine oriented Brauer category is a monoidal category obtained from the oriented Brauer category (= the free symmetric monoidal category generated by a single object and its dual) by adjoining a polynomial generator subject to appropriate relations. In this article, we prove a basis theorem for the morphism spaces in this category, as well as for all of its cyclotomic quotients.
Keywords
Cite
@article{arxiv.1404.6574,
title = {A basis theorem for the affine oriented Brauer category and its cyclotomic quotients},
author = {Jonathan Brundan and Jonathan Comes and David Nash and Andrew Reynolds},
journal= {arXiv preprint arXiv:1404.6574},
year = {2017}
}
Comments
v2: Minor corrections