Rational cohomology of an algebra need not be detected by Frobenius kernels
classification
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keywords
algebradetectedfrobeniuskernelsactioncharacteristicclasscohomology
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Friedrich Knop has given an example of a polynomial algebra A in characteristic two with an unusual SL_2 action. We exhibit a nontrivial class in H^1(SL_2,A), not detected by Frobenius kernels.
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