Affine quantum groups and Steinberg varieties of type C

• Changjian Su ^[1] ; Weiqiang Wang ^[2]
  1. [1] Tsinghua University

     Tsinghua University

     China

     
  2. [2] University of Virginia

     University of Virginia

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 32, Nº. 3, 2026
• Idioma: inglés
• DOI: 10.1007/s00029-026-01161-x
• Enlaces
  • Texto completo
• Resumen

  • We provide a geometric realization of the quasi-split affine iquantum group of type AIII(τ )2n−1 in terms of equivariant K-groups of non-connected Steinberg varieties of type C. This uses a new Drinfeld type presentation of this affine iquantum group which admits very nontrivial Serre relations. We then construct à la Springer a family of finite-dimensional standard modules and irreducible modules of this iquantum group, and provide a composition multiplicity formula of the standard modules.

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