A new Weyl group action related to the quasi-classical Gelfand–Graev action

• Xiangsheng Wang ^[1]
  1. [1] Shandong University

     Shandong University

     China

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 3, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00655-0
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• Resumen

  • We construct a Weyl group action on the DKS type varieties, a certain class of varieties associated with quivers. As a result, on some special DKS type varieties, we can give a quiver theoretic explanation of the quasi-classical Gelfand–Graev action discovered by Ginzburg and Riche and studied by Ginzburg and Kazhdan recently.