Universal classes for algebraic groups

Details Universal classes for algebraic groups Universal classes for algebraic groups

2008-09-05

arxiv.org/abs/0809.0989v2

Duke Mathematical Journal. Vol. 151, No. 2, 2010, pp. 219-249.

Mathematics

Representation Theory

24 pages. v2, slight modifications : corollary 0.2 added, additional comments in section 2, one reference added. To appear in

Scientific paper

10.1215/00127094-2009-064

We exhibit cocycles representing certain classes in the rational cohomology
of of the general linear group with coefficients in the divided powers of a
Frobenius twist of the adjoint representation. These classes' existence was
anticipated by van der Kallen, and they intervene in the proof that reductive
linear algebraic groups have finitely generated cohomology algebras.

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