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Transactions of the American Mathematical Society

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

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Equivariant Littlewood-Richardson skew tableaux
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by Victor Kreiman PDF
Trans. Amer. Math. Soc. 362 (2010), 2589-2617 Request permission

Abstract:

We give a positive equivariant Littlewood-Richardson rule also discovered independently by Molev. Our proof generalizes a proof by Stembridge of the classical Littlewood-Richardson rule. We describe a weight-preserving bijection between our indexing tableaux and trapezoid puzzles which restricts to a bijection between positive indexing tableaux and Knutson-Tao puzzles.
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Additional Information
  • Victor Kreiman
  • Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
  • Email: vkreiman@math.uga.edu
  • Received by editor(s): July 25, 2007
  • Received by editor(s) in revised form: May 9, 2008, and June 24, 2008
  • Published electronically: December 18, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 2589-2617
  • MSC (2000): Primary 14M15, 05E10
  • DOI: https://doi.org/10.1090/S0002-9947-09-04862-4
  • MathSciNet review: 2584612