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math.COJul 31, 2006
7
citations (OpenAlex)
authors
  • Pavel Etingof
  • Igor Pak
institutions
  • Massachusetts Institute of Technology
arXiv abstractPDF
paper

An algebraic extension of the MacMahon Master Theorem

arXiv:math/0608005

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.

8 pages

References in corpus (1)

  • Non-commutative extensions of the MacMahon Master Theorem

Cited by in corpus (1)

  • Non-commutative Sylvester's determinantal identity
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