On nilpotency in braces and the Yang–Baxter equation

Authors

  • Alberto Rodríguez Durà Universitat de València

Keywords:

braces, Yang–Baxter, nilpotency

Abstract

Braces are algebraic structures that allow us to study the non-degenerate solutions of the Yang–Baxter equation (EYB). Each brace admits a non-degenerate solution and, conversely, every solution of this type is determined by an associated brace. Thus, the classification of non-degenerate solutions depends on the structural analysis of the braces. Their algebraic properties correspond to those of the solutions, and nilpotency allows us to describe the multipermutational character of these structures.

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Published

2025-12-04

How to Cite

Rodríguez Durà, A. (2025). On nilpotency in braces and the Yang–Baxter equation. Reports@SCM, 10(1), 89–90. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/156046

Issue

Vol. 10 No. 1 (2025)

Section

Extended abstracts

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