Presenting queer Schur superalgebras
Representation Theory
2015-06-08 v2 Quantum Algebra
Rings and Algebras
Abstract
Associated to the two types of finite dimensional simple superalgebras, there are the general linear Lie superalgebra and the queer Lie superalgebra. The universal enveloping algebras of these Lie superalgebras act on the tensor spaces of the natural representations and, thus, define certain finite dimensional quotients, the Schur superalgebras and the queer Schur superalgebra. In this paper, we introduce the quantum analogue of the queer Schur superalgebra and investigate the presentation problem for both the queer Schur superalgebra and its quantum analogue.
Cite
@article{arxiv.1307.3296,
title = {Presenting queer Schur superalgebras},
author = {Jie Du and Jinkui Wan},
journal= {arXiv preprint arXiv:1307.3296},
year = {2015}
}
Comments
43 pages, v2, updated references, mild corrections of typos, to appear in IMRN