Some new simple modular Lie superalgebras
arXiv:math/0512654
Abstract
Two new simple modular Lie superalgebras are obtained in characteristics 3 and 5, which share the property that their even parts are orthogonal Lie algebras and the odd parts their spin modules. The characteristic 5 case is shown to be related, by means of a construction of Tits, to the exceptional ten dimensional Jordan superalgebra of Kac.
21 pages
Cited by in corpus (9)
- Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix
- Towards classification of simple finite dimensional modular Lie superalgebras
- Cartan matrices and presentations of the exceptional simple Elduque Lie superalgebra
- Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix
- New simple modular Lie superalgebras as generalized prolongs
- Models of some simple modular Lie superalgebras
- The extended Freudenthal Magic Square and Jordan algebras
- Fine gradings on exceptional simple Lie superalgebras
- Tits construction of the exceptional simple Lie algebras