Year: 2013
Type: preprint
Abstract: In this note we determine when is an induced module H^0_G(λ), corresponding to a dominant integral highest weight λof the general linear supergroup G=GL(m|n) irreducible. Using the contravariant duality given by the supertrace we obtain a characterization of irreducibility of Weyl modules V(λ). This extends the result of Kac who proved that, for ground fields of characteristic zero, V(λ) is irreducible if and only if λis typical.
Source: arXiv (Cornell University)
Author: Marko, Frantisek
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1515916979