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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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An algebraic extension of the MacMahon Master Theorem
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by Pavel Etingof and Igor Pak PDF
Proc. Amer. Math. Soc. 136 (2008), 2279-2288 Request permission

Abstract:

We present a new algebraic extension of the classical MacMahon Master Theorem. The basis of our extension is the Koszul duality for non-quadratic algebras defined by Berger. Combinatorial implications are also discussed.
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Additional Information
  • Pavel Etingof
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 289118
  • Email: etingof@math.mit.edu
  • Igor Pak
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 293184
  • ORCID: 0000-0001-8579-7239
  • Email: pak@math.mit.edu
  • Received by editor(s): August 1, 2006
  • Published electronically: March 13, 2008
  • Communicated by: Jim Haglund
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2279-2288
  • MSC (2000): Primary 16S37; Secondary 05A30, 05E05, 81S05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09017-5
  • MathSciNet review: 2390493