Abstract
We construct a basis for the right quantum algebra introduced by Garoufalidis, Lê 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.
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Foata, D., Han, GN. A basis for the right quantum algebra and the “1=q” principle. J Algebr Comb 27, 163–172 (2008). https://doi.org/10.1007/s10801-007-0080-5
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DOI: https://doi.org/10.1007/s10801-007-0080-5