Simple finite-dimensional modular noncommutative Jordan superalgebras |
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Authors: | A.P. Pozhidaev I.P. Shestakov |
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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 |
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Abstract: | ![]() We classify the central simple finite-dimensional noncommutative Jordan superalgebras over an algebraically closed field of characteristic . 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 . |
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Keywords: | 17A15 17A20 17B63 17C20 17C70 |
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