to appear In Linear Algebra and its Applications

Dominique Foata, Guo-Niu Han

SPECIALIZATIONS AND EXTENSIONS OF THE QUANTUM MACMAHON MASTER THEOREM

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.

foata at math dot u-strasbg dot fr, guoniu at math dot u-strasbg dot fr

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