Simple finite-dimensional modular noncommutative Jordan superalgebras

摘要

We classify the central simple finite-dimensional noncommutative Jordan superalgebras over an algebraically closed field of characteristic p 2. The case of characteristic 0 was considered by the authors in the previous paper [21]. In particular, we describe Leibniz brackets on all finite dimensional central simple Jordan superalgebras except mixed (nor vector neither Poisson) Kantor doubles of the supercommutative superalgebra B(m, n). (C) 2018 Elsevier B.V. All rights reserved.