On the affine Hecke category for SL3

• Nicolas Libedinsky ^[1] ; Leonardo Patimo ^[2]
  1. [1] Universidad de Chile

     Universidad de Chile

     Santiago, Chile

     
  2. [2] Universität Freiburg, Alemania
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 29, Nº. 4, 2023
• Idioma: inglés
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• Resumen

  • We study the diagrammatic Hecke category associated with the affine Weyl group of type A˜2. More precisely we find a (surprisingly simple) basis in characteristic zero for the Hom spaces between indecomposable objects, that we call indecomposable double leaves.