DELIGNE%26apos;S CATEGORY Rep(GL(delta)) AND REPRESENTATIONS OF GENERAL LINEAR SUPERGROUPS

作者:Comes Jonathan*; Wilson Benjamin
来源:Representation Theory - An Electronic Journal of the AMS, 2012, 16: 568-609.
DOI:10.1090/S1088-4165-2012-00425-3

摘要

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.

  • 出版日期2012