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

Vanessa Miemietz; William Brunt Turner

doi:10.1007/s00029-014-0164-8

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

Vanessa Miemietz, William Brunt Turner

Mathematical Science

University of East Anglia

Research output: Contribution to journal › Article › peer-review

3 Citations (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 language	English
Pages (from-to)	605-648
Number of pages	44
Journal	Selecta Mathematica
Volume	21
Early online date	25 Jul 2014
DOIs	https://doi.org/10.1007/s00029-014-0164-8
Publication status	Published - Apr 2015

Keywords

Koszul duality
extension algebra
GL2
dg Algebra
2-Functor

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10.1007/s00029-014-0164-8Licence: Unspecified

http://arxiv.org/abs/1106.5411Licence: Unspecified

William Turner
- School of Natural & Computing Sciences, Mathematical Science - Lecturer
Person: Academic

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KW - 2-Functor

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

Abstract

Keywords

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William Turner

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