Koszul algebras and the quantum MacMahon Master Theorem

2006/03/07 by Phung Ho Hai, Hai, Phung Ho, Martin Lorenz +1
Mathematics · #05A30 #16S37 #16W30 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A30 #msc:16S37 #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0603169

8 pages; minor changes in the exposition; the multiparameter case (originally due to Konvalinka and Pak) is now covered as well

arxiv created 2006/08/07 · arxiv updated 2009/12/01

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.

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