Belousov's Theorem and the quantum Yang-Baxter equation
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2018-02-26 13:25
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512.5 (325)
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SM ISO690:2012
SMITH, Jonathan-D.. Belousov's Theorem and the quantum Yang-Baxter equation. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 1(80), pp. 7-23. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(80) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322

Belousov's Theorem and the quantum Yang-Baxter equation
CZU: 512.5

Pag. 7-23

Smith Jonathan-D.
 
Iowa State University, Ames
 
 
Disponibil în IBN: 19 iulie 2016


Rezumat

Quantum quasigroups are self-dual objects that provide a general framework for the nonassociative extension of quantum group techniques. Within this context, the classical theorem of Belousov on the isotopy of distributive quasigroups and commutative Moufang loops is reinterpreted to yield solutions of the quantum Yang-Baxter equation. A new concept of principal bimagma isotopy is introduced.

Cuvinte-cheie
Belousov theorem, quantum Yang- Baxter equation, quantum quasigroup, distributive, isotopy.,

quasigroup, loop