The Cohomology of Restricted Lie Algebras and of Hopf Algebras

  title={The Cohomology of Restricted Lie Algebras and of Hopf Algebras},
  author={William Massey},
Introduction. In theory, the bar construction suffices to calculate the homology groups of an augmented algebra. In practice, the bar construction is generally too large (has too many generators) to allow computation of higher-dimensional homology groups. In this paper, we outline a procedure which simplifies the calculation of the homology and cohomology of Hopf algebras. Let i b e a (graded) Hopf algebra over a field K of characteristic p. Filter A by FqA =A\iq^0 and FqA = (I(A))~* if g < 0… CONTINUE READING

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Lie algebras, Interscience

N. Jacobson
New York, • 1962
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