Cocyclic solutions to the Yang-Baxter equation

Rump, Wolfgang

doi:10.1090/proc/15220

Cocyclic solutions to the Yang-Baxter equation
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Proc. Amer. Math. Soc. 149 (2021), 471-479 Request permission

Abstract:

The systematic study of involutive non-degenerate set-theoretic solutions to the Yang-Baxter equation was initiated by Etingof et al. (Duke Math. J., 1999), who introduced the structure group of a solution and its retraction, the permutation group, which is finite whenever the solution is finite. In this paper, the solutions with cyclic permutation group are classified.

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