New reflection matrices for the U_q(gl(m|n)) case
Mathematical Physics
2013-07-09 v4 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We examine super symmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated to the super algebra U_q(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the super symmetric realization of the B-type Hecke algebra
Cite
@article{arxiv.0907.3408,
title = {New reflection matrices for the U_q(gl(m|n)) case},
author = {Anastasia Doikou and Nikos Karaiskos},
journal= {arXiv preprint arXiv:0907.3408},
year = {2013}
}
Comments
13 pages, Latex. A few alterations regarding the representations. A reference added