The Weyl extension algebra of GL2(F-p)

Vanessa Miemietz*, Will Turner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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 languageEnglish
Pages (from-to)144-197
Number of pages54
JournalAdvances in Mathematics
Publication statusPublished - Oct 2013

Bibliographical note

Funding Information:
The first author acknowledges support from ERC grant PERG07-GA-2010-268109 . The authors would like to thank the referee for helpful suggestions on how to improve the exposition of the article.


  • Dg algebras
  • Extension algebra
  • GL
  • Weyl modules


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