A reductive group with finitely generated cohomology algebras

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dc.creatorvan der Kallen, Wilberd
dc.date2004-03-22
dc.date2007-03-09
dc.date.accessioned2026-07-07T08:35:11Z
dc.date.available2026-07-07T08:35:11Z
dc.descriptionLet $G$ be the linear algebraic group $SL_3$ over a field $k$ of characteristic two. Let $A$ be a finitely generated commutative $k$-algebra on which $G$ acts rationally by $k$-algebra automorphisms. We show that the full cohomology ring $H^*(G,A)$ is finitely generated. This extends the finite generation property of the ring of invariants $A^G$. We discuss where the problem stands for other geometrically reductive group schemes.
dc.description16 pages; minor changes; final version
dc.identifierhttps://arxiv.org/abs/math/0403361
dc.identifierhttp://arxiv.org/abs/math/0403361
dc.identifierAlgebraic Groups and Homogeneous spaces, Editor: V.B. Mehta, Narosa 2007, New Delhi, 301-314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139672
dc.subjectRepresentation Theory
dc.subject20G10; 14L24
dc.titleA reductive group with finitely generated cohomology algebras
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