Garside Groups and Yang-Baxter Equation

Fabienne Chouraqui

doi:10.1080/00927870903386502

Garside Groups and Yang-Baxter Equation

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

Abstract

We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive, and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of Δ-pure Garside groups.

Original language	English
Pages (from-to)	4441-4460
Number of pages	20
Journal	Communications in Algebra
Volume	38
Issue number	12
DOIs	https://doi.org/10.1080/00927870903386502
State	Published - Dec 2010
Externally published	Yes

Keywords

Garside groups
Monoid presentation
Quantum Yang-Baxter equations

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870903386502

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abstract = "We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive, and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of Δ-pure Garside groups.",

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AB - We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive, and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of Δ-pure Garside groups.

KW - Garside groups

KW - Monoid presentation

KW - Quantum Yang-Baxter equations

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DO - 10.1080/00927870903386502

M3 - Article

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 12

ER -

Garside Groups and Yang-Baxter Equation

Abstract

Keywords

ASJC Scopus subject areas

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