Non-commutative extensions of the MacMahon Master Theorem
Combinatorics
2007-05-23 v1
Abstract
We present several non-commutative extensions of the MacMahon Master Theorem, further extending the results of Cartier-Foata and Garoufalidis-Le-Zeilberger. The proofs are combinatorial and new even in the classical cases. We also give applications to the -extension and Krattenthaler-Schlosser's -analogue.
Keywords
Cite
@article{arxiv.math/0607737,
title = {Non-commutative extensions of the MacMahon Master Theorem},
author = {Matjaz Konvalinka and Igor Pak},
journal= {arXiv preprint arXiv:math/0607737},
year = {2007}
}
Comments
28 pages, 6 figures