A q-Brauer algebra
Quantum Algebra
2012-08-14 v2
Abstract
We define a new -deformation of Brauer's centralizer algebra which contains Hecke algebras of type as unital subalgebras. We determine its generic structure as well as the structure of certain semisimple quotients. This is expected to have applications for constructions of subfactors of type II factors and for module categories of fusion categories of type corresponding to certain symmetric spaces.
Keywords
Cite
@article{arxiv.1102.3892,
title = {A q-Brauer algebra},
author = {Hans Wenzl},
journal= {arXiv preprint arXiv:1102.3892},
year = {2012}
}