Koszul algebras and the quantum MacMahon Master Theorem
Quantum Algebra
2007-05-23 v3 Combinatorics
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.
Cite
@article{arxiv.math/0603169,
title = {Koszul algebras and the quantum MacMahon Master Theorem},
author = {Phung Ho Hai and Martin Lorenz},
journal= {arXiv preprint arXiv:math/0603169},
year = {2007}
}
Comments
8 pages; minor changes in the exposition; the multiparameter case (originally due to Konvalinka and Pak) is now covered as well