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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


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
Represent. Theory 16 (2012), 568-609
Published electronically: December 3, 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 $\underline {\operatorname {Re}}\!\operatorname {p}(GL_\delta )$ and explain how to decompose their tensor products.
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Bibliographic Information
  • Jonathan Comes
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • Email:
  • Benjamin Wilson
  • Affiliation: Dieffenbachstraße 27, 10967 Berlin, Germany
  • Email:
  • 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:
  • MathSciNet review: 2998810