Braid group symmetries on quasi-split ıquantum groups via ıHall algebras

• Ming Lu ^[1] ; Weiqiang Wang ^[2]
  1. [1] Sichuan University

     Sichuan University

     China

     
  2. [2] University of Virginia

     University of Virginia

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 5, 2022
• Idioma: inglés
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• Resumen

  • We establish automorphisms with closed formulas on quasi-split ıquantum groups of symmetric Kac-Moody type associated to restricted Weyl groups. The proofs are carried out in the framework of ıHall algebras and reflection functors, thanks to the ıHall algebra realization of ıquantum groups in our previous work. Several quantum binomial identities arising along the way are established.