Groups, Radical Rings, and the Yang-Baxter Equation: A Combinatorial Approach to Solutions

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Ferran Cedó Leandro Vendramin

Groups, Radical Rings, and the Yang-Baxter Equation

Name: Groups, Radical Rings, and the Yang-Baxter Equation
Price: 308.92 AUD
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ISBN: 9783032015235

A Combinatorial Approach to Solutions

Ferran Cedó, Leandro Vendramin

$385.95 $308.92

Hardback

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English

Birkhauser
01 February 2026

Algebra; Groups & group theory; Mathematical physics

Series: Progress in Mathematics

Summary
Details

This monograph provides the first comprehensive introduction to set-theoretic solutions of the Yang–Baxter equation and their deep connections with skew braces. In recent decades, set-theoretic solutions have emerged as an accessible yet rich domain of study, offering new algebraic structures and revealing unexpected connections between seemingly distant fields. A key breakthrough in this direction was the discovery of braces by Rump and the later generalization to skew braces, which provide an elegant algebraic framework for understanding and constructing set-theoretic solutions. This book offers a self-contained, structured, and pedagogically motivated treatment of the subject. Each chapter ends with a list of exercises to work on the presented topics, some open problems, and comments on the authorship and development of the results presented.

The primary audience consists of researchers and advanced graduate students working on or entering topics related to the Yang–Baxter equation, especially those with interests in algebra, set-theoretic solutions, and skew braces theory. Given its self-contained nature, the book is also suitable for graduate students seeking a pathway into current research, as it provides foundational material alongside recent developments.

By: Ferran Cedó, Leandro Vendramin
Imprint: Birkhauser
Country of Publication: Switzerland
Volume: 361
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783032015235
ISBN 10: 3032015235
Series: Progress in Mathematics
Pages: 298
Publication Date: 01 February 2026
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active