On the cohomology of infinite dimensional nilpotent Lie algebras (Q1803593)

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scientific article; zbMATH DE number 221232
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On the cohomology of infinite dimensional nilpotent Lie algebras
scientific article; zbMATH DE number 221232

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    On the cohomology of infinite dimensional nilpotent Lie algebras (English)
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    29 June 1993
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    The author determines the structure of one- and two-dimensional cohomology of infinite dimensional nilpotent Lie algebras with coefficients in the adjoint representation. The results are different from that in finite dimension, because the adjoint representation is not a highest weight representation in infinite dimension.
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    cohomology
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    infinite dimensional nilpotent Lie algebras
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    adjoint representation
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