Koszul dual 2-functors and extension algebras of simple modules for $GL_2$

Vanessa Miemietz; Will Turner

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arXiv · 1106.5411

Koszul dual 2-functors and extension algebras of simple modules for $GL_2$

Vanessa Miemietz·Will Turner

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Abstract

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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BibTeX RIS

Vanessa Miemietz, Will Turner. 2014-07-09. Koszul dual 2-functors and extension algebras of simple modules for $GL_2$. https://arxiv.org/abs/1106.5411

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