Combinatorial solutions to the reflection equation

Agata Smoktunowicz; Leandro Vendramin; Robert Andrew Weston

doi:10.1016/j.jalgebra.2019.12.012

Combinatorial solutions to the reflection equation

Agata Smoktunowicz, Leandro Vendramin, Robert Andrew Weston

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

5 Citations (Scopus)

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Abstract

We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions of the parameter dependent reflection equation.

Original language	English
Pages (from-to)	268-290
Number of pages	23
Journal	Journal of Algebra
Volume	549
Early online date	3 Jan 2020
DOIs	https://doi.org/10.1016/j.jalgebra.2019.12.012
Publication status	Published - 1 May 2020

Keywords

Brace
Radical ring
Reflection equation
Skew brace
Yang-Baxter equation

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2019.12.012

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title = "Combinatorial solutions to the reflection equation",

abstract = "We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions of the parameter dependent reflection equation.",

keywords = "Brace, Radical ring, Reflection equation, Skew brace, Yang-Baxter equation",

author = "Agata Smoktunowicz and Leandro Vendramin and Weston, {Robert Andrew}",

year = "2020",

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day = "1",

doi = "10.1016/j.jalgebra.2019.12.012",

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T1 - Combinatorial solutions to the reflection equation

AU - Smoktunowicz, Agata

AU - Vendramin, Leandro

AU - Weston, Robert Andrew

PY - 2020/5/1

Y1 - 2020/5/1

N2 - We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions of the parameter dependent reflection equation.

AB - We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions of the parameter dependent reflection equation.

KW - Brace

KW - Radical ring

KW - Reflection equation

KW - Skew brace

KW - Yang-Baxter equation

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U2 - 10.1016/j.jalgebra.2019.12.012

DO - 10.1016/j.jalgebra.2019.12.012

M3 - Article

SN - 0021-8693

VL - 549

SP - 268

EP - 290

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Combinatorial solutions to the reflection equation

Abstract

Keywords

ASJC Scopus subject areas

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