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

Nir Ben David; Yuval Ginosar

doi:10.1016/j.jalgebra.2016.03.025

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

Nir Ben David
, Yuval Ginosar

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	197-206
Number of pages	10
Journal	Journal of Algebra
Volume	458
DOIs	https://doi.org/10.1016/j.jalgebra.2016.03.025
State	Published - 15 Jul 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc..

Keywords

Bijective 1-cocycles
Groups of I-type
Involutive Yang-Baxter groups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2016.03.025

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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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AU - Ginosar, Yuval

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AB - 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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UR - https://www.scopus.com/pages/publications/84962637507

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JO - Journal of Algebra

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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