Non-commutative extensions of the MacMahon Master Theorem

Details Non-commutative extensions of the MacMahon Master Theorem Non-commutative extensions of the MacMahon Master Theorem

2006-07-28

arxiv.org/abs/math/0607737v1

Mathematics

Combinatorics

28 pages, 6 figures

Scientific paper

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 $\beta$-extension and Krattenthaler-Schlosser's
$q$-analogue.

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