Modular representations of the Jordan superalgebras D(t) and K3

Up to the irreducible representations of the simple three-dimensional Lie algebra sl2, we classify the unital finite-dimensional irreducible Jordan representations of the simple superalgebra D(t) in the case of an algebraically closed field of characteristic p≠2. As a corollary we obtain a classification of the finite-dimensional irreducible representations of the Kaplansky superalgebra K3 in the case of characteristic p≠2.