Skew braces: a brief survey

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Samenvatting

Our primary focus is on the theory of skew braces, specifically exploring their connection with combinatorial solutions to the Yang-Baxter equation. Skew braces have recently emerged as intriguing algebraic structures, and their link to the Yang-Baxter equation adds further depth and significance to their study. Throughout this article, we place particular emphasis on various problems and conjectures that arise within this field. These open questions serve to stimulate further research and investigation, as we strive to enhance our understanding of skew braces and their role in the study of the Yang-Baxter equation.
Originele taal-2English
Pagina's153-175
Aantal pagina's23
DOI's
StatusPublished - 13 nov. 2024

Publicatie series

NaamTrends in Mathematics
VolumePart F3359
ISSN van geprinte versie2297-0215
ISSN van elektronische versie2297-024X

Bibliografische nota

22 pages.Typos corrected. XL Workshop on Geometric Methods in Physics, Bia{\l}owie\.za 2023. Postprint

Keywords

  • math.RA
  • math.GR
  • math.QA
  • 16T25, 19D99

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