The Weyl extension algebra of GL₂(Fp)

Vanessa Miemietz; Will Turner

doi:10.1016/j.aim.2013.07.003

The Weyl extension algebra of GL₂(Fp)

Vanessa Miemietz, Will Turner

Algebra and Combinatorics

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

8 Citations (Scopus)

Abstract

We compute the Yoneda extension algebra of the collection of Weyl modules for GL2 over an algebraically closed field of characteristic p>0 by developing a theory of generalised Koszul duality for certain 2-functors, one of which controls the rational representation theory of GL2 over such a field.

Original language	English
Pages (from-to)	144-197
Number of pages	54
Journal	Advances in Mathematics
Volume	246
DOIs	https://doi.org/10.1016/j.aim.2013.07.003
Publication status	Published - 20 Oct 2013

Keywords

Extension algebra
Weyl modules
GL2
Dg algebras

Access to Document

10.1016/j.aim.2013.07.003

Cite this

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abstract = "We compute the Yoneda extension algebra of the collection of Weyl modules for GL2 over an algebraically closed field of characteristic p>0 by developing a theory of generalised Koszul duality for certain 2-functors, one of which controls the rational representation theory of GL2 over such a field.",

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AB - We compute the Yoneda extension algebra of the collection of Weyl modules for GL2 over an algebraically closed field of characteristic p>0 by developing a theory of generalised Koszul duality for certain 2-functors, one of which controls the rational representation theory of GL2 over such a field.

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KW - Dg algebras

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