A New Proof of the Garoufalidis-Le-Zeilberger Quantum MacMahon Master Theorem

2006/03/19 by Dominique Foata, Foata, Dominique, Guo-Niu Han +1
Mathematics · #05A19 #05A30 #16W35 #17B37 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A19 #msc:05A30 #msc:16W35 #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0603464

8 pages

arxiv created 2006/03/19 · arxiv updated 2009/12/01

Abstract

We propose a new proof of the quantum version of MacMahon's Master Theorem, established by Garoufalidis, Le and Zeilberger.

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• The quantum MacMahon Master Theorem
• Koszul algebras and the quantum MacMahon Master Theorem
• Specializations and Extensions of the quantum MacMahon Master Theorem
• A basis for the right quantum algebra and the "1=q" principle
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