Folding of set-theoretical solutions of the yang-baxter equation

Fabienne Chouraqui, Eddy Godelle

Research output: Contribution to journalArticlepeer-review

Abstract

We establish a correspondence between the invariant subsets of a nondegenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups of its structure group, equipped with its canonical Garside structure. Moreover, we introduce the notion of a foldable solution, which extends the one of a decomposable solution.

Original languageEnglish
Pages (from-to)1277-1290
Number of pages14
JournalAlgebras and Representation Theory
Volume15
Issue number6
DOIs
StatePublished - Dec 2012
Externally publishedYes

Bibliographical note

Funding Information:
Fabienne Chouraqui and Eddy Godelle are partially supported by the Agence Nationale de la Recherche (projet Théorie de Garside, ANR-08-BLAN-0269-03). Fabienne Chouraqui is also supported by the Affdu-Elsevier fellowship.

Keywords

  • Folding
  • Parabolic subgroups of Garside groups
  • Set-theoretical solution of the quantum Yang-Baxter equation

ASJC Scopus subject areas

  • General Mathematics

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