The Weyl extension algebra of GL₂(\mathbbF_p)

2011/06/28 by Vanessa Miemietz, Miemietz, Vanessa, Will Turner +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1106.5665

openalex publication_date 2011/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the Yoneda extension algebra of the collection of Weyl modules for GL₂ over an algebraically closed field of positive characteristic p 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.

Cited by

• Quasi-hereditary algebras and generalized Koszul duality

Related

• Koszul dual 2-functors and extension algebras of simple modules for GL₂
• Rational representations of GL₂
• Dimensions of Ext-groups of Weyl modules for GL₂
• De GL(2,F) a Gal_Qp
• A duality theorem for generalized Koszul algebras