Fundamental representations of quantum affine superalgebras and R-matrices
Quantum Algebra
2016-07-20 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
We study a certain family of finite-dimensional simple representations over quantum affine superalgebras associated to general linear Lie superalgebras, the so-called fundamental representations: the denominators of rational -matrices between two fundamental representations are computed; a cyclicity (and so simplicity) condition on tensor products of fundamental representations is proved.
Keywords
Cite
@article{arxiv.1506.06093,
title = {Fundamental representations of quantum affine superalgebras and R-matrices},
author = {Huafeng Zhang},
journal= {arXiv preprint arXiv:1506.06093},
year = {2016}
}
Comments
28 pages, to appear in Transformation Groups