Koszul dual 2-functors and extension algebras of simple modules for GL_2

Vanessa Miemietz, Will Turner

Research output: Contribution to journalArticle

3 Citations (Scopus)
8 Downloads (Pure)

Abstract

Let p be a prime number. We compute the Yoneda extension algebra of GL2 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 GL2 over such a field.

Original languageEnglish
Pages (from-to)605-648
JournalSelecta Mathematica
Volume21
Issue number2
Early online date25 Jul 2014
DOIs
Publication statusPublished - Apr 2015

Keywords

  • Koszul duality
  • Extension algebra
  • GL2
  • 2-Functor

Cite this