Koszul algebras and the quantum MacMahon Master Theorem
arXiv:math/0603169
Abstract
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