Koszul dual 22-functors and extension algebras of simple modules for GL2

• Vanessa Miemietz ^[1] ; Will Turner ^[2]
  1. [1] University of East Anglia

     University of East Anglia

     Norwich District, Reino Unido

     
  2. [2] University of Aberdeen

     University of Aberdeen

     Reino Unido

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 21, Nº. 2, 2015, págs. 605-648
• Idioma: inglés
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• Resumen

  • Let pp be a prime number. We compute the Yoneda extension algebra of GL2GL2 over an algebraically closed field of characteristic pp by developing a theory of Koszul duality for a certain class of 22 -functors, one of which controls the category of rational representations of GL2GL2 over such a field.