New simple Lie superalgebras in characteristic 3
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
Symplectic (respectively orthogonal) triple systems provide constructions of Lie algebras (resp. superalgebras). However, in characteristic 3, it is shown that this role can be interchanged and that Lie superalgebras (resp. algebras) can be built out of symplectic triple systems (resp. orthogonal triple systems) with a different construction. As a consequence, new simple finite dimensional Lie superalgebras, as well as new models of some nonclassical simple Lie algebras, are obtained over fields of characteristic 3.
Cite
@article{arxiv.math/0412395,
title = {New simple Lie superalgebras in characteristic 3},
author = {Alberto Elduque},
journal= {arXiv preprint arXiv:math/0412395},
year = {2007}
}
Comments
36 pages