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

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

2011-06-28

arxiv.org/abs/1106.5665v1

Mathematics

Representation Theory

48 pages

Scientific paper

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.

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