Deligne's category Rep(GLδ) and representations of general linear supergroups

Original · EN

We classify indecomposable summands of mixed tensor powers of the natural representation for the general linear supergroup up to isomorphism. We also give a formula for the characters of these summands in terms of composite supersymmetric Schur polynomials, and give a method for decomposing their tensor products. Along the way, we describe indecomposable objects in Rep(GLδ) and explain how to decompose their tensor products.