Koszul algebras and the quantum MacMahon Master Theorem

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We give a new proof of the quantum version of MacMahon's Master Theorem due to Garoufalidis, Le and Zeilberger (one-parameter case) and to Konvalinka and Pak (multiparameter case) by deriving it from known facts about Koszul algebras.
8 pages; minor changes in the exposition; the multiparameter case (originally due to Konvalinka and Pak) is now covered as well

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