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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Deligne’s category $\underline {\operatorname {Re}}\!\operatorname {p}(GL_\delta )$ and representations of general linear supergroups
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by Jonathan Comes and Benjamin Wilson PDF
Represent. Theory 16 (2012), 568-609 Request permission

Abstract:

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 $\underline {\operatorname {Re}}\!\operatorname {p}(GL_\delta )$ and explain how to decompose their tensor products.
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Additional Information
  • Jonathan Comes
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • Email: jcomes@uoregon.edu
  • Benjamin Wilson
  • Affiliation: Dieffenbachstraße 27, 10967 Berlin, Germany
  • Email: benjamin@asmusas.net
  • Received by editor(s): September 5, 2011
  • Received by editor(s) in revised form: July 31, 2012
  • Published electronically: December 3, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 568-609
  • MSC (2010): Primary 17B10, 18D10
  • DOI: https://doi.org/10.1090/S1088-4165-2012-00425-3
  • MathSciNet review: 2998810