Braids inside the Birman-Wenzl-Murakami algebra
Group Theory
2009-11-12 v1 Representation Theory
Abstract
We determine the Zariski closure of the representations of the braid groups that factorize through the Birman-Wenzl-Murakami algebra, for generic values of the parameters . For of modulus 1 and close to 1, we prove that these representations are unitarizable, thus deducing the topological closure of the image when in addition are algebraically independent.
Cite
@article{arxiv.0911.2188,
title = {Braids inside the Birman-Wenzl-Murakami algebra},
author = {Ivan Marin},
journal= {arXiv preprint arXiv:0911.2188},
year = {2009}
}