Journal of Generalized Lie Theory and Applications

On anti-structurable algebras and extended Dynkin diagrams

Abstract

Noriaki KAMIYA a and Daniel MONDOC

We construct Lie superalgebras osp(2n + 1 j 4n + 2) and osp(2n j 4n) starting with certain classes of anti-structurable algebras via the standard embedding Lie superalgebra construction corresponding to (; )-Freudenthal Kantor triple systems.