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An algebraic extension of the MacMahon Master Theorem
Authors:Pavel Etingof  Igor Pak
Institution:Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 ; Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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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