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Noncommutative Jordan superalgebras of degree n > 2

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Author(s):
Pozhidaev, A. P. ; Shestakov, P.
Total Authors: 2
Document type: Journal article
Source: Algebra and Logic; v. 49, n. 1, p. 25-pg., 2010-03-01.
Abstract

We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative Jordan superalgebra of characteristic 0 and degree n > 1 is simple. Modulo a "nodal" case, we classify central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. (AU)

FAPESP's process: 05/60337-2 - Lie and Jordan algebras, their representations and generalizations
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 08/50142-8 - Alexander Pozhidaev | Sobolev Institute of Mathematics, SBRAS - Russia
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International