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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, номер 1, страницы 7–23
(Mi basm406)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Belousov's theorem and the quantum Yang–Baxter equation
Jonathan D. H. Smith Dept. of Math., Iowa State Univ., Ames, IA 50011, U.S.A.
Аннотация:
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.
Ключевые слова и фразы:
Belousov theorem, quasigroup, loop, quantum Yang–Baxter equation, quantum quasigroup, distributive, isotopy.
Поступила в редакцию: 23.08.2015
Образец цитирования:
Jonathan D. H. Smith, “Belousov's theorem and the quantum Yang–Baxter equation”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 1, 7–23
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm406 https://www.mathnet.ru/rus/basm/y2016/i1/p7
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