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Algebra and Discrete Mathematics, 2018, Volume 26, Issue 1, Pages 19–33 (Mi adm667)  

This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem

F. A. Gómez González, R. Velásquez

Universidad de Antioquia, Calle 67 No. 53-108 Bloque 6-7 of. 337, Medellín, Antioquia, Colombia
Full-text PDF (389 kB) Citations (2)
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Abstract: An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superalgebras $\mathcal{A}$ with solvable radical $\mathcal{N}$, $\mathcal{N}^2=0$, and such that $\mathcal{A}/\mathcal{N}\cong\mathfrak{J}\mathrm{osp}_{n|2m}(\mathbb{F})$, where $\mathbb{F}$ is a field of characteristic zero. We prove that the WPT is valid under some restrictions over the irreducible $\mathcal{A}/\mathcal{N}\cong\mathfrak{J}\mathrm{osp}_{n|2m}(\mathbb{F})$-bimodules contained in $\mathcal{N}$, and show with counter-examples that these restrictions cannot be weakened.
Keywords: Jordan superalgebras, Wedderburn theorem.
Funding agency Grant number
Universidad de Antioquia
CODI 2014-1032
The authors were partially supported by Universidad de Antioquia, and the first author by the proyect CODI 2014-1032.
Received: 02.11.2016
Revised: 19.01.2017
Document Type: Article
MSC: 17C70, 17C27, 17C55
Language: English
Citation: F. A. Gómez González, R. Velásquez, “Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem”, Algebra Discrete Math., 26:1 (2018), 19–33
Citation in format AMSBIB
\Bibitem{GomVel18}
\by F.~A.~G\'omez Gonz\'alez, R.~Vel\'asquez
\paper Orthosymplectic Jordan superalgebras and~the~Wedderburn principal theorem
\jour Algebra Discrete Math.
\yr 2018
\vol 26
\issue 1
\pages 19--33
\mathnet{http://mi.mathnet.ru/adm667}
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  • This publication is cited in the following 2 articles:
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