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

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

2011-08-02

arxiv.org/abs/1108.0652v1

Mathematics

Representation Theory

Scientific paper

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(GL_\delta) and explain how to decompose their tensor products.

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