Resumen de Koszul dual 22-functors and extension algebras of simple modules for GL2

Vanessa Miemietz, Will Turner

• Let pp be a prime number. We compute the Yoneda extension algebra of GL2GL2 over an algebraically closed field of characteristic pp by developing a theory of Koszul duality for a certain class of 22 -functors, one of which controls the category of rational representations of GL2GL2 over such a field.