##### 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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