$δ$ -derivations of classical Lie superalgebras

preprint2010arXivOpen access

We consider the $δ$ -derivations of classical Lie superalgebras and prove that these superalgebras admit nonzero $δ$ -derivations only when $δ= 0,1/2,1$ . The structure of $1/2$ -derivations for classical Lie superalgebras is completely determined.

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$δ$ -derivations of classical Lie superalgebras

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δδδ-derivations of classical Lie superalgebras

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$δ$ -derivations of classical Lie superalgebras