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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.


Multiplicity-free products and restrictions of Weyl characters
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by John R. Stembridge
Represent. Theory 7 (2003), 404-439
Published electronically: October 7, 2003


We classify all multiplicity-free products of Weyl characters, or equivalently, all multiplicity-free tensor products of irreducible representations of complex semisimple Lie algebras. As a corollary, we also obtain the classification of all multiplicity-free restrictions of irreducible representations to reductive subalgebras of parabolic type.
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Bibliographic Information
  • John R. Stembridge
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109–1109
  • Email:
  • Received by editor(s): December 12, 2001
  • Received by editor(s) in revised form: September 22, 2003
  • Published electronically: October 7, 2003
  • Additional Notes: This work was supported by NSF Grant DMS–0070685
  • © Copyright 2003 American Mathematical Society
  • Journal: Represent. Theory 7 (2003), 404-439
  • MSC (2000): Primary 17B10, 05E15; Secondary 20G05, 22E46
  • DOI:
  • MathSciNet review: 2017064