Open AccessOn anti-structurable algebras and extended Dynkin diagrams
Author(s) -
Noriaki Kamiya,
Daniel Mondoc
Publication year - 2009
Publication title -
journal of generalized lie theory and applications
Language(s) - English
Resource type - Journals
eISSN - 1736-5279
pISSN - 1736-4337
DOI - 10.4303/jglta/s090304
Subject(s) - dynkin diagram , mathematics , representation theory , algebra over a field , pure mathematics , lie algebra
We construct Lie superalgebras osp(2n+1|4n+2) and 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