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arXiv · 1403.5740

On groups of $I$-type and involutive Yang-Baxter groups

Nir Ben David·Yuval Ginosar
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Abstract

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.

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Nir Ben David, Yuval Ginosar. 2014-03-23. On groups of $I$-type and involutive Yang-Baxter groups. https://arxiv.org/abs/1403.5740

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