Braid group action on extended crystals *

In the paper, we prove that there exists a braid group action on the extended crystal B ⠂(& INFIN;) of finite type. The extended crystal B ⠂(& INFIN;) and its braid group action are investigated from the viewpoint of crystal similarity. We then interpret the braid group action on B ⠂(& INFIN;) in the Hernandez-Leclerc category Cg0. & COPY; 2023 Elsevier Inc. All rights reserved.

Automated summary

In this paper, the existence of a braid group action on the extended crystal B⠂(& INFIN;) of finite type is proven. The extended crystal B⠂(& INFIN;) and its braid group action are investigated from the perspective of crystal similarity. The braid group action on B⠂(& INFIN;) in the Hernandez-Leclerc category Cg0 is then interpreted.