Geodesic
Quantum idempotence, distributivity, and the Yang-Baxter equation
Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 4, pp. 567-583.

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Quantum quasigroups and loops are self-dual objects that provide a general framework for the nonassociative extension of quantum group techniques. They also have one-sided analogues, which are not self-dual. In this paper, natural quantum versions of idempotence and distributivity are specified for these and related structures. Quantum distributive structures furnish solutions to the quantum Yang-Baxter equation.
DOI : 10.14712/1213-7243.2015.186
Classification : 16T25, 20N05
Keywords: Hopf algebra; quantum group; quasigroup; loop; quantum Yang-Baxter equation; distributive 
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Smith, J. D. H. Quantum idempotence, distributivity, and the Yang-Baxter equation. Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 4, pp. 567-583. doi : 10.14712/1213-7243.2015.186. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.186/

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