An algorithmic construction of group automorphisms and the quantum Yang-Baxter equation

Fabienne Chouraqui

doi:10.1080/00927872.2018.1455098

An algorithmic construction of group automorphisms and the quantum Yang-Baxter equation

Fabienne Chouraqui

Department of Mathematics, Physics and Computer Science (Oranim Campus)

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

Abstract

The structure group G of a non-degenerate symmetric set (X,S) is a Bieberbach and a Garside group. We describe a combinatorial method to compute explicitly a group of automorphisms of G and show this group admits a subgroup that preserves the Garside structure. In some special cases, we could also prove the group of automorphisms found is an outer automorphism group.

Original language	English
Pages (from-to)	4710-4723
Number of pages	14
Journal	Communications in Algebra
Volume	46
Issue number	11
DOIs	https://doi.org/10.1080/00927872.2018.1455098
State	Published - 2 Nov 2018

Bibliographical note

Publisher Copyright:
© 2018, © 2018 Taylor & Francis.

Keywords

Bieberbach group
Garside groups
bijective cocycle
group of automorphisms
outer automorphism group
quantum groups
set-theoretical solution of the quantum Yang-Baxter equation

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2018.1455098

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KW - outer automorphism group

KW - quantum groups

KW - set-theoretical solution of the quantum Yang-Baxter equation

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An algorithmic construction of group automorphisms and the quantum Yang-Baxter equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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