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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Littlewood-Richardson rule for Grassmannian permutations
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by Kevin Purbhoo and Frank Sottile PDF
Proc. Amer. Math. Soc. 137 (2009), 1875-1882 Request permission

Abstract:

We give a combinatorial rule for computing intersection numbers on a flag manifold which come from products of Schubert classes pulled back from Grassmannian projections. This rule generalizes the known rule for Grassmannians.
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Additional Information
  • Kevin Purbhoo
  • Affiliation: Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L 3G1 Canada
  • Email: kpurbhoo@math.uwaterloo.ca
  • Frank Sottile
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
  • MR Author ID: 355336
  • ORCID: 0000-0003-0087-7120
  • Email: sottile@math.tamu.edu
  • Received by editor(s): September 14, 2007
  • Received by editor(s) in revised form: May 2, 2008
  • Published electronically: January 8, 2009
  • Additional Notes: The work of the second author was supported by NSF CAREER grant DMS-0538734
  • Communicated by: Jim Haglund
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 1875-1882
  • MSC (2000): Primary 14N15; Secondary 05E10
  • DOI: https://doi.org/10.1090/S0002-9939-09-09637-3
  • MathSciNet review: 2480266