Duke Mathematical Journal
- Duke Math. J.
- Volume 151, Number 2 (2010), 251-278.
Bifunctor cohomology and cohomological finite generation for reductive groups
Let be a reductive linear algebraic group over a field . Let be a finitely generated commutative -algebra on which acts rationally by -algebra automorphisms. Invariant theory states that the ring of invariants is finitely generated. We show that in fact the full cohomology ring is finitely generated. The proof is based on the strict polynomial bifunctor cohomology classes constructed in . We also continue the study of bifunctor cohomology of
Duke Math. J. Volume 151, Number 2 (2010), 251-278.
First available in Project Euclid: 14 January 2010
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20G10: Cohomology theory
Secondary: 14L24: Geometric invariant theory [See also 13A50]
Touzé, Antoine; Van Der Kallen, Wilberd. Bifunctor cohomology and cohomological finite generation for reductive groups. Duke Math. J. 151 (2010), no. 2, 251--278. doi:10.1215/00127094-2009-065. https://projecteuclid.org/euclid.dmj/1263478512