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Cohomology of graded Lie algebras of cartan type of characteristic 0

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Abstract

In [6], D. Fux determined the structures of cohomology of formal vector fields Lie algebras with coefficients in trivial modules or dual adjoint modules. We determine the structure ofH 1 (L, V), whereL=W (n),S(n) orH(n) is an infinite dimensional Lie algebra of characteristic 0 andV is a gradedL-module\(\tilde V_0 \) (mixed product) or a graded irreducibleL-module.

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, Shanghai

    Chiu Sen

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  1. Chiu Sen
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Project supported by the National Natural Science Foundation Grant No. 1880422 and the Science Foundation Grant of the Doctdral Program Offering Schools Assigned by CNEC.

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Sen, C. Cohomology of graded Lie algebras of cartan type of characteristic 0. Acta Mathematica Sinica 8, 17–25 (1992). https://doi.org/10.1007/BF02595016

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  • DOI: https://doi.org/10.1007/BF02595016

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