Delta-derivations of simple finite-dimensional Jordan superalgebras

We descibe non-trivial delta-derivations of semisimple finite-dimensional Jordan algebras over an algebraically closed field of characteristic not 2, and of simple finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic 0. For these classes of algebras and superalgebras, non-zero delta-derivations exist only for delta = 0, 1/2, 1, and we give a complete account of 1/2-derivations.

I. B. Kaygorodov < kaygorodov.ivan@gmail.com >

I. B. Kaygorodov < kib@math.nsc.ru >