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arXiv · 2011.10083

Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation and orthogonal dynamical extensions of cycle sets

Marco Castelli·Francesco Catino·Paola Stefanelli
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Abstract

Employing the algebraic structure of the left brace and the dynamical extensions of cycle sets, we investigate a class of indecomposable involutive set-theoretic solutions of the Yang-Baxter equation having specific imprimitivity blocks. Moreover, we study one-generator left braces of multipermutation level 2.

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Marco Castelli, Francesco Catino, Paola Stefanelli. 2020-11-19. Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation and orthogonal dynamical extensions of cycle sets. https://arxiv.org/abs/2011.10083

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