Braid group action on extended crystals

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In the paper, we prove that there exists a braid group action on the extended crystal Bˆ(∞) of finite type. The extended crystal Bˆ(∞) and its braid group action are investigated from the viewpoint of crystal similarity. We then interpret the braid group action on Bˆ(∞) in the Hernandez-Leclerc category Cg0.

Original languageEnglish
Article number109193
JournalAdvances in Mathematics
StatePublished - 15 Sep 2023


  • Braid groups
  • Extended crystals
  • Hernandez-Leclerc categories
  • Quantum affine algebras


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