arXiv:1106.5411 Abstract | arXiv Analytics

arXiv:1106.5411 [math.RT]Abstract References Reviews Resources

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

Published 2011-06-27, updated 2014-07-09Version 3

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.

Comments: 39 pages, title changed in second version, to appear in Selecta Math. (N.S.)

Categories: math.RT

Keywords: simple modules, yoneda extension algebra, koszul duality, prime number, rational representations

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