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

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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.

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

Keywords

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

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