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Nilpotency of odd derivations in simple finite-dimensional Lie superalgebras - MaRDI portal

Nilpotency of odd derivations in simple finite-dimensional Lie superalgebras (Q1405909)

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scientific article; zbMATH DE number 1977036
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Nilpotency of odd derivations in simple finite-dimensional Lie superalgebras
scientific article; zbMATH DE number 1977036

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    Nilpotency of odd derivations in simple finite-dimensional Lie superalgebras (English)
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    8 September 2003
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    It is proved that all inner derivatives determined by odd elements of a simple finite-dimensional Lie superalgebra are nilpotent only in the superalgebras \(\text{osp}(1,2r)\) and \(\widetilde S(3)\).
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    Lie superalgebras
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    nilpotency
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    inner derivation
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