A basis for the right quantum algebra and the "1=q" principle
Combinatorics
2007-05-23 v1 Quantum Algebra
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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Cite
@article{arxiv.math/0603463,
title = {A basis for the right quantum algebra and the "1=q" principle},
author = {Dominique Foata and Guo-Niu Han},
journal= {arXiv preprint arXiv:math/0603463},
year = {2007}
}
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9 pages