We exhibit cocycles representing certain classes in the cohomology of the algebraic group with coefficients in the 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 (see [18])
Duke Math. J.
151(2):
219-249
(1 February 2010).
DOI: 10.1215/00127094-2009-064
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