Open Access
August 2009 On anti-structurable algebras and extended Dynkin diagrams
Noriaki Kamiya, Daniel Mondoc
J. Gen. Lie Theory Appl. 3(3): 183-190 (August 2009). DOI: 10.4303/jglta/S090304

Abstract

We construct Lie superalgebras $\mathfrak{osp}(2n+1|4n+2)$ and $\mathfrak{osp}(2n|4n)$ starting with certain classes of anti-structurable algebras via the standard embedding Lie superalgebra construction corresponding to (ε,δ)-Freudenthal Kantor triple systems.

Citation

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Noriaki Kamiya. Daniel Mondoc. "On anti-structurable algebras and extended Dynkin diagrams." J. Gen. Lie Theory Appl. 3 (3) 183 - 190, August 2009. https://doi.org/10.4303/jglta/S090304

Information

Published: August 2009
First available in Project Euclid: 6 August 2010

zbMATH: 1231.17002
MathSciNet: MR2534023
Digital Object Identifier: 10.4303/jglta/S090304

Subjects:
Primary: 17A30 , 17B60

Keywords: Associative structures , Jordan structures , Lie algebras , Lie superalgebras , Nonassociative algebras , Nonassociative rings

Rights: Copyright © 2009 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.3 • No. 3 • August 2009
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