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.
Bibliographical notePublisher Copyright:
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- Bijective 1-cocycles
- Groups of I-type
- Involutive Yang-Baxter groups
ASJC Scopus subject areas
- Algebra and Number Theory