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)

16 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

Access to Document

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 and Research

Cite this

@article{84cafbc77d5649b9a2e2a3b5427f9372,

title = "Koszul dual 2-functors and extension algebras of simple modules for GL\_2",

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.",

keywords = "Koszul duality, Extension algebra, GL2, 2-Functor",

author = "Vanessa Miemietz and Will Turner",

year = "2015",

month = apr,

doi = "10.1007/s00029-014-0164-8",

language = "English",

volume = "21",

pages = "605--648 ",

journal = "Selecta Mathematica-New Series",

issn = "1022-1824",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Koszul dual 2-functors and extension algebras of simple modules for GL_2

AU - Miemietz, Vanessa

AU - Turner, Will

PY - 2015/4

Y1 - 2015/4

N2 - 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.

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

U2 - 10.1007/s00029-014-0164-8

DO - 10.1007/s00029-014-0164-8

M3 - Article

SN - 1022-1824

VL - 21

SP - 605

EP - 648

JO - Selecta Mathematica-New Series

JF - Selecta Mathematica-New Series

IS - 2

ER -

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

Abstract

Keywords

Access to Document

Profiles

Vanessa Miemietz

Cite this