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

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

2011-06-27

arxiv.org/abs/1106.5411v1

Mathematics

Representation Theory

30 pages

Scientific paper

Let p be a prime number. We compute the Yoneda extension algebra of $GL_2$
over an algebraically closed field of characteristic p by developing a theory
of Koszul duality for a certain class of 2-functors, one of which controls the
category of rational representations of $GL_2$ over such a field.

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