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 statusPublished - 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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