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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Simple finite-dimensional modular noncommutative Jordan superalgebras

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Author(s):
Pozhidaev, A. P. [1, 2] ; Shestakov, I. P. [1, 3]
Total Authors: 2
Affiliation:
[1] Sobolev Inst Math, Pr Koptyuga 4, Novosibirsk - Russia
[2] Novosibirsk State Univ, Dept Math & Mech, Pirogova 2, Novosibirsk - Russia
[3] Univ Sdo Paulo, Dept Matemat, Caixa Postal 66281, BR-05311970 Sao Paulo, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 223, n. 6, p. 2320-2344, JUN 2019.
Web of Science Citations: 2
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). (C) 2018 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 14/13271-5 - Simple finite-dimensional noncommutative Jordan superalgebras
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants