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

Vanessa Miemietz; Will Turner

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

Representation Theory 2018-03-06 v3

Authors: Vanessa Miemietz , Will Turner

Abstract

We compute the Yoneda extension algebra of the collection of Weyl modules for $GL_2$ 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 $GL_2$ over such a field.

Keywords

Weyl modules Yoneda extension algebra generalised Koszul duality 2-functors rational representation theory positive characteristic algebraically closed field

Cite

@article{arxiv.1106.5665,
  title  = {The Weyl extension algebra of $GL_2(\bar{\mathbb{F}}_p)$},
  author = {Vanessa Miemietz and Will Turner},
  journal= {arXiv preprint arXiv:1106.5665},
  year   = {2018}
}

Comments

55 pages, Adv. Math. 246 (2013), 144-197; this new version corrects a mistake in Lemma 3 by adding a new Appendix to replace Section 5

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

Abstract

Keywords

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