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Specializations and Extensions of the quantum MacMahon Master Theorem

Research paper by Dominique Foata, Guo-Niu Han

Indexed on: 19 Mar '06Published on: 19 Mar '06Published in: Mathematics - Combinatorics



Abstract

We study some specializations and extensions of the quantum version of the MacMahon Master Theorem derived by Garoufalidis, Le and Zeilberger. In particular, we obtain a (t,q)-analogue for the Cartier-Foata noncommutative version and a semi-strong (t,q)-analogue for the contextual algebra.