Presenting Schur superalgebras
Representation Theory
2012-09-28 v1
Abstract
We provide a presentation of the Schur superalgebra and its quantum analogue which generalizes the work of Doty and Giaquinto for Schur algebras. Our results include a basis for these algebras and a presentation using weight idempotents in the spirit of Lusztig's modified quantum groups.
Keywords
Cite
@article{arxiv.1209.6327,
title = {Presenting Schur superalgebras},
author = {Houssein El Turkey and Jonathan R. Kujawa},
journal= {arXiv preprint arXiv:1209.6327},
year = {2012}
}
Comments
28 pages, to appear in the Pacific Journal of Mathematics