Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Belousov's Theorem and the quantum Yang-Baxter equation
Authors: Jonathan D. H. Smith
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Abstract
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.Dept. of Math., Iowa State Univ.
Ames, IA 50011, U.S.A.
E-mail:
Ames, IA 50011, U.S.A.
E-mail:
Fulltext
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Contents
- Valentin Belousov (20.02.1925 - 23.07.1988)
- Belousov's Theorem and the quantum Yang-Baxter equation
- Central and medial quasigroups of small order
- Algebras with Parastrophically Uncancellable Quasigroup Equations
- Linear groups that are the multiplicative groups of neofields
- On isotopies of some classes of Moufang loops
- Doubly transitive sets of even permutations
- Triality and Universal Multiplication Groups of Moufang Loops
- On paratopies of orthogonal systems of ternary quasigroups. I
- On cosets in Steiner loops
