Some new simple modular Lie superalgebras
Alberto Elduque
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.
Create a lesson
Related papers
Free Novikov-Zinbiel algebra
A. Dauletiyarova, F. Mashurov, B. Sartayev
Very good gradings on structural matrix rings
Patrik Lundström, Johan Öinert, Laura Orozco et al.
Relation graphs of the sedenion algebra
Alexander Guterman, Svetlana Zhilina
On doubly alternative zero divisors in Cayley-Dickson algebras
Svetlana Zhilina
Diameter of the commutativity graph of the real sedenions
Svetlana Zhilina
Functional identities of degree 2 at two-sided zero products on incidence algebras
Hongyu Jia, Zhankui Xiao