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

The following versions are available: