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An algebraic extension of the MacMahon Master Theorem

Pavel Etingof·Igor Pak
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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.

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Pavel Etingof, Igor Pak. 2006-07-31. An algebraic extension of the MacMahon Master Theorem. https://arxiv.org/abs/math/0608005

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