Vol. 172, No. 2, 1996

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On the cohomology of the Lie algebra L2

Alice Fialowski

Vol. 172 (1996), No. 2, 399–412
Abstract

We compute the 0-, 1-, and 2-dimensional homology of the vector field Lie algebra L2 with coefficients in the modules λ,μ, and conjecture that the higher dimensional homology for any λ and μ is zero. We completely compute the 0- and 1-dimensional homology with coefficients in the more complicated modules Fλ,μ. We also give a conjecture on this homology in any dimension for generic λ and μ.

Mathematical Subject Classification 2000
Primary: 17B55
Secondary: 17B66
Milestones
Received: 20 January 1993
Revised: 22 May 1993
Published: 1 February 1996
Authors
Alice Fialowski
Eötövos Loránd University
United States