New simple Lie superalgebras in characteristic 3

Details New simple Lie superalgebras in characteristic 3 New simple Lie superalgebras in characteristic 3

2004-12-20

arxiv.org/abs/math/0412395v1

Mathematics

Rings and Algebras

36 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

New simple Lie superalgebras in characteristic 3 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New simple Lie superalgebras in characteristic 3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New simple Lie superalgebras in characteristic 3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577139