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 |
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Pages (from-to) | 144-197 |
Number of pages | 54 |
Journal | Advances in Mathematics |
Volume | 246 |
DOIs | |
Publication status | Published - 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.
Keywords
- Dg algebras
- Extension algebra
- GL
- Weyl modules