Simple Lie algebras of small characteristic VI. Completion of the classification

Details Simple Lie algebras of small characteristic VI. Completion of the classification Simple Lie algebras of small characteristic VI. Completion of the classification

2007-11-19

arxiv.org/abs/0711.2899v3

Mathematics

Representation Theory

Many typos corrected and introduction extended; the new version is accepted for publication

Scientific paper

Let L be a finite-dimensional simple Lie algebra over an algebraically closed field of F characteristic p>3. We prove that if the p-envelope of L in the derivation algebra of L contains nonstandard tori of maximal dimension, then p=5 and L is isomorphic to one of the Melikian algebras. Together with our earlier results this implies that any finite-dimensional simple Lie algebra over F is of classical, Cartan or Melikian type.

Affiliated with

Also associated with

No associations

Rating

Simple Lie algebras of small characteristic VI. Completion of the classification 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 Simple Lie algebras of small characteristic VI. Completion of the classification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple Lie algebras of small characteristic VI. Completion of the classification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-115876