Garside Groups and Yang-Baxter Equation

Research output: Contribution to journalArticlepeer-review


We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive, and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of Δ-pure Garside groups.

Original languageEnglish
Pages (from-to)4441-4460
Number of pages20
JournalCommunications in Algebra
Issue number12
StatePublished - Dec 2010
Externally publishedYes


  • Garside groups
  • Monoid presentation
  • Quantum Yang-Baxter equations

ASJC Scopus subject areas

  • Algebra and Number Theory


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