Model structures, categorial quotients and representations of super commutative Hopf algebras II, The case Gl(m,n)

We construct a tensor functor from the category of super representations of the superlinear group Gl(m,n) over a field of characteristic zero to the category of super representations of the linear group Gl(m-n) over some extension field (for m at least equal to n). We show that this functor maps irreducible representations to isotypic representations, and we compute the multiplicities.

💡 Research Summary

The paper addresses the representation theory of the general linear supergroup GL(m|n) over a field of characteristic zero, focusing on the case where the even dimension m is at least as large as the odd dimension n. The authors construct a tensor functor
\