On centralizer algebras for spin representations
Quantum Algebra
2012-08-14 v2
Abstract
We give a presentation of the centralizer algebras for tensor products of spinor representations of quantum groups via generators and relations. In the even-dimensional case, this can be described in terms of non-standard q-deformations of orthogonal Lie algebras; in the odd-dimensional case only a certain subalgebra will appear. In the classical case q = 1 the relations boil down to Lie algebra relations.
Cite
@article{arxiv.1107.4183,
title = {On centralizer algebras for spin representations},
author = {Hans Wenzl},
journal= {arXiv preprint arXiv:1107.4183},
year = {2012}
}