Ext-groups in the Category of Strict Polynomial Functors

Abstract

The aim of this paper is to study, by using the mathematical tools developed by Chalupnik, Touze, and Van der Kallen, the effect of the Frobenius twist on Ext-group in the category of strict polynomial functors. As an application, we obtain explicit formulas of cohomology of the orthogonal groups and symplectic ones.

References in corpus (6)

• Koszul, Ringel, and Serre duality for strict polynomial functors
• Bifunctor cohomology and Cohomological finite generation for reductive groups
• Universal classes for algebraic groups
• General linear and functor cohomology over finite fields
• Cohomology of bifunctors
• Lectures on bifunctors and finite generation of rational cohomology algebras