δδ-superderivations of semisimple Jordan superalgebras

preprint2011arXivOpen access

Abstract

We described δδ-derivations and δδ-superderivations of simple and semisimple finite-dimensional Jordan superalgebras over algebraic closed fields with characteristic p≠2p\neq2. We constructed new examples of 1/2-derivations and 1/2-superderivations of simple Zelmanov's superalgebra V1/2(Z,D).V_{1/2}(Z,D).

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