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Simple finite-dimensional modular noncommutative Jordan superalgebras
Authors:A.P. Pozhidaev  I.P. Shestakov
Affiliation:1. Sobolev Institute of Mathematics, pr. Koptyuga 4, Novosibirsk, Russian Federation;2. Department of Mathematics and Mechanics, Novosibirsk State University, Pirogova 2, Novosibirsk, Russian Federation;3. Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo-SP, 05311-970, Brazil
Abstract:
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).
Keywords:17A15  17A20  17B63  17C20  17C70
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