Cohomology with Grosshans graded coefficients

dc.creatorvan der Kallen, Wilberd
dc.date2001-08-09
dc.date2004-06-24
dc.date.accessioned2026-07-07T04:42:56Z
dc.date.available2026-07-07T04:42:56Z
dc.descriptionLet the reductive group G act on the finitely generated commutative k-algebra A. We ask if the finite generation property of the ring of invariants A^G extends to the full rational cohomology ring H^*(G,A). We confirm this when G=SL_2 and also when the characteristic of k is large and the action on A is replaced by the `contracted' action on the Grosshans graded ring gr(A). In the printed version of this paper the first level of some spectral sequences was misidentified as the second. This affects twelve subscripts. We have corrected them (in 3.10, 4.11, 4.12).
dc.description17 pages; correction of twelve subscripts
dc.identifierhttps://arxiv.org/abs/math/0108066
dc.identifierhttp://arxiv.org/abs/math/0108066
dc.identifierCRM Proceedings and Lecture Notes, Volume 35 (2004), 127-138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61997
dc.subjectRepresentation Theory
dc.subject20G10
dc.titleCohomology with Grosshans graded coefficients
dc.typetext

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