Koszul dual 2 -functors and extension algebras of simple modules for GL 2

Vanessa Miemietz, William Brunt Turner

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1 Citation (Scopus)

Abstract

Let p be a prime number. We compute the Yoneda extension algebra of GL 2 over an algebraically closed field of characteristic p by developing a theory of Koszul duality for a certain class of 2 -functors, one of which controls the category of rational representations of GL 2 over such a field.
Original languageEnglish
Pages (from-to)605-648
Number of pages44
JournalSelecta Mathematica
Volume21
Early online date25 Jul 2014
DOIs
Publication statusPublished - Apr 2015

Keywords

  • Koszul duality
  • extension algebra
  • GL2
  • dg Algebra
  • 2-Functor

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