##### J. Algebraic Combinatorics, 27, No. 2, 2008, p.
163-172.

# Dominique Foata, Guo-Niu Han

#
A BASIS FOR THE RIGHT QUANTUM ALGEBRA AND THE
``1=q" PRINCIPLE

**Abstract.**
We construct a basis for the right quantum algebra introduced
by Garoufalidis, Le and Zeilberger and give a method
making it possible to go from an algebra subject to
commutation relations (without the variable q) to the
right quantum algebra by means of an appropriate
weight-function. As a consequence, a strong quantum
MacMahon Master Theorem is derived. Besides, the algebra of
biwords is systematically in use.

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

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