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- W2951788322 abstract "We prove that extension groups in strict polynomial functor categories compute the rational cohomology of classical algebraic groups. This result was previously known only for general linear groups. We give several applications to the study of classical algebraic groups, such as a cohomological stabilization property, the injectivity of external cup products, and the existence of Hopf algebra structures on the (stable) cohomology of a classical algebraic group with coefficients in a Hopf algebra. Our result also opens the way to new explicit cohomology computations. We give an example inspired by recent computations of Djament and Vespa." @default.
- W2951788322 created "2019-06-27" @default.
- W2951788322 creator A5013566163 @default.
- W2951788322 date "2009-02-25" @default.
- W2951788322 modified "2023-10-01" @default.
- W2951788322 title "Cohomology of classical algebraic groups from the functorial viewpoint" @default.
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