# DELIGNE’S CATEGORY Rep(GLδ) AND REPRESENTATIONS OF GENERAL LINEAR SUPERGROUPS

@inproceedings{Comes2012DELIGNESCR, title={DELIGNE’S CATEGORY Rep(GL$\delta$) AND REPRESENTATIONS OF GENERAL LINEAR SUPERGROUPS}, author={Jonathan Comes}, year={2012} }

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.

## 42 Citations

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