delta-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras

In the paper, a complete description of the delta-derivations and the delta-superderivations of semisimple finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic p not equal 2 is given. In particular, new examples of nontrivial (1/2)-derivations and odd (1/2)-superderivations are given that are not operators of right multiplication by an element of the superalgebra.Russian Foundation for Basic Research [11-01-00938-A]Program "Leading Scientific Schools" [NSh-4620.2012.1]Federal Targeted Program "Scientific and Scientific-Pedagogical Personnel of the Innovative Russia" [14.740.11.0346]Sao Paulo Research Foundation [2011/51132-9