Linear Algebra and its Applications, 423, 2007, p. 445-455.
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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