Belousov's theorem and the quantum Yang--Baxter equation
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2016), pp. 7-23
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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.
@article{BASM_2016_1_a1,
author = {Jonathan D. H. Smith},
title = {Belousov's theorem and the quantum {Yang--Baxter} equation},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {7--23},
publisher = {mathdoc},
number = {1},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2016_1_a1/}
}
Jonathan D. H. Smith. Belousov's theorem and the quantum Yang--Baxter equation. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2016), pp. 7-23. http://geodesic.mathdoc.fr/item/BASM_2016_1_a1/