Abelian fixed point free endomorphisms and the Yang-Baxter equation
Autor: | Koch, Alan, Stordy, Laura, Truman, Paul J. |
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Rok vydání: | 2020 |
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Druh dokumentu: | Working Paper |
Popis: | We obtain a simple family of solutions to the set-theoretic Yang-Baxter equation, one which depends only on considering special endomorphisms of a finite group. We show how such an endomorphism gives rise to two non-degenerate solutions to the Yang-Baxter equation, solutions which are inverse to each other. We give concrete examples using dihedral, alternating, symmetric, and metacyclic groups. Comment: 16 pages |
Databáze: | arXiv |
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