Rational Schur Superalgebras

DOI10.1142/S1005386724000178arXiv2301.01866MaRDI QIDQ6422599

Andrew Riesen

Publication date: 4 January 2023

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 $GL(m|n)$. Furthermore, we establish a Schur-Weyl duality result for rational Schur superalgebras and conclude that under certain conditions these objects will be semisimple.

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (1)

A note on Schur-Weyl dualities for \(\mathrm{GL}(m)\) and \(\mathrm{GL}(m|n)\)

This page was built for publication: Rational Schur Superalgebras

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6422599)