# The Weyl extension algebra of $GL_2(\overline{\mathbb{F}}_p)$

Miemietz, Vanessa and Turner, Will (2013) The Weyl extension algebra of $GL_2(\overline{\mathbb{F}}_p)$. Advances in Mathematics, 246. pp. 144-197. ISSN 0001-8708

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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.

Item Type: Article extension algebra,weyl modules,gl2,dg algebras Faculty of Science > School of Mathematics Pure Connector 08 Oct 2013 01:58 24 Jul 2019 18:56 https://ueaeprints.uea.ac.uk/id/eprint/43594 10.1016/j.aim.2013.07.003