A basis for the right quantum algebra and the "1=q" principle

2006/03/19 by Dominique Foata, Foata, Dominique, Guo-Niu Han +1
Mathematics · #05A19 #05A30 #16W35 #17B37 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A19 #msc:05A30 #msc:16W35 #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0603463

9 pages

arxiv created 2006/03/19 · arxiv updated 2009/12/01

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 submitted 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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