Cohomology with Grosshans graded coefficients

  title={Cohomology with Grosshans graded coefficients},
  author={Wilberd van der Kallen},
Let 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 AG extends to the full cohomology ring H(G,A). We confirm this for G = SL2 and also when the action on A is replaced by the ‘contracted’ action on the Grosshans graded ring grA, provided the characteristic of k is large. 
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