paper

Rational Schur Superalgebras

arXiv:2301.01866 · doi:10.1142/S1005386724000178

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.

14 pages; Accepted for publication in Algebra Colloquium

Rational Schur Superalgebras · wovepaper