Combinatorial solutions to the reflection equation

Agata Smoktunowicz, Leandro Vendramin, Robert Andrew Weston

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)268-290
Number of pages23
JournalJournal of Algebra
Volume549
Early online date3 Jan 2020
DOIs
Publication statusE-pub ahead of print - 3 Jan 2020

Fingerprint

Braces
Skew
Ring
Dependent

Keywords

  • Brace
  • Radical ring
  • Reflection equation
  • Skew brace
  • Yang-Baxter equation

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Smoktunowicz, Agata ; Vendramin, Leandro ; Weston, Robert Andrew. / Combinatorial solutions to the reflection equation. In: Journal of Algebra. 2020 ; Vol. 549. pp. 268-290.
@article{05f3ed7f38f346359da3c56d1c1e9769,
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",
month = "1",
day = "3",
doi = "10.1016/j.jalgebra.2019.12.012",
language = "English",
volume = "549",
pages = "268--290",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

Combinatorial solutions to the reflection equation. / Smoktunowicz, Agata; Vendramin, Leandro; Weston, Robert Andrew.

In: Journal of Algebra, Vol. 549, 01.05.2020, p. 268-290.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Combinatorial solutions to the reflection equation

AU - Smoktunowicz, Agata

AU - Vendramin, Leandro

AU - Weston, Robert Andrew

PY - 2020/1/3

Y1 - 2020/1/3

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

UR - http://www.scopus.com/inward/record.url?scp=85077759968&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2019.12.012

DO - 10.1016/j.jalgebra.2019.12.012

M3 - Article

VL - 549

SP - 268

EP - 290

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -