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An algebraic extension of the MacMahon Master Theorem
Author(s):
Pavel
Etingof;
Igor
Pak
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2279-2288.
MSC (2000):
Primary 16S37;
Secondary 05A30, 05E05, 81S05
Posted:
March 13, 2008
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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.
References:
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Additional Information:
Pavel
Etingof
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
etingof@math.mit.edu
Igor
Pak
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
pak@math.mit.edu
DOI:
10.1090/S0002-9939-08-09017-5
PII:
S 0002-9939(08)09017-5
Received by editor(s):
August 1, 2006
Posted:
March 13, 2008
Communicated by:
Jim Haglund
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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