Rational Schur Superalgebras
Representation Theory
2024-05-30 v1
Abstract
We develop and study the generalization of rational Schur algebras to the super setting. Similar to the classical case, this provides a new method for studying rational supermodules of the general linear supergroup . Furthermore, we establish a Schur-Weyl duality result for rational Schur superalgebras and conclude that under certain conditions these objects will be semisimple.
Cite
@article{arxiv.2301.01866,
title = {Rational Schur Superalgebras},
author = {Andrew Riesen},
journal= {arXiv preprint arXiv:2301.01866},
year = {2024}
}
Comments
14 pages; Accepted for publication in Algebra Colloquium