We describe the indecomposable involutive non-degenerate set-theoretic solutions of the Yang–Baxter equation as dynamical extensions of non-degenerate left cycle sets. Moreover we characterize the indecomposable dynamical extensions and we produce several examples. As an application we construct a family of finite indecomposable solutions whose structure groups have not the unique product property.
Titolo: | Indecomposable involutive set-theoretic solutions of the Yang–Baxter equation |
Autori: | |
Data di pubblicazione: | 2019 |
Rivista: | |
Abstract: | We describe the indecomposable involutive non-degenerate set-theoretic solutions of the Yang–Baxter equation as dynamical extensions of non-degenerate left cycle sets. Moreover we characterize the indecomposable dynamical extensions and we produce several examples. As an application we construct a family of finite indecomposable solutions whose structure groups have not the unique product property. |
Handle: | http://hdl.handle.net/11587/435227 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
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