On groups of \(I\)-type and involutive Yang-Baxter groups

On groups of \(I\)-type and involutive Yang-Baxter groups

We suggest a cohomological framework to describe groups of \(I\)-type and involutive Yang-Baxter groups. These groups are key in the study of involutive non-degenerate set-theoretic solutions of the quantum Yang-Baxter equation. Our main tool is a lifting criterion for 1-cocycles, established here i...

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Veröffentlicht in:arXiv.org 2018-10
Hauptverfasser: Nir Ben David, Ginosar, Yuval
Format: Artikel
Sprache:eng
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Zusammenfassung:We suggest a cohomological framework to describe groups of \(I\)-type and involutive Yang-Baxter groups. These groups are key in the study of involutive non-degenerate set-theoretic solutions of the quantum Yang-Baxter equation. Our main tool is a lifting criterion for 1-cocycles, established here in a general non-abelian setting.
ISSN:2331-8422