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

Vanessa Miemietz; Will Turner

doi:10.1007/s00029-014-0164-8

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

Vanessa Miemietz, Will Turner

Algebra, Number Theory, Logic, and Representations (ANTLR)

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

3 Citations (Scopus)

13 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 language	English
Pages (from-to)	605-648
Journal	Selecta Mathematica-New Series
Volume	21
Issue number	2
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
2-Functor

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10.1007/s00029-014-0164-8

extensionsfinalAccepted author manuscript, 410 KB

Vanessa Miemietz
- V.Miemietzuea.acuk
- School of Engineering, Mathematics and Physics - Professor in Pure Mathematics
- Algebra, Number Theory, Logic, and Representations (ANTLR) - Member
Person: Research Group Member, Academic, Teaching & Research

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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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AB - 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.

KW - Koszul duality

KW - Extension algebra

KW - GL2

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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Vanessa Miemietz

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