Mathematics – Rings and Algebras
Scientific paper
2011-05-21
Mathematics
Rings and Algebras
4 pages; v2: stylistic corrections
Scientific paper
Results about the following classes of finite-dimensional Lie algebras over a field of characteristic zero are presented: anisotropic (i.e., Lie algebras for which each adjoint operator is semisimple), regular (i.e., Lie algebras in which each nonzero element is regular in the sense of Bourbaki), minimal nonabelian (i.e., nonabelian Lie algebras all whose proper subalgebras are abelian), and algebras of depth 2 (i.e., Lie algebras all whose proper subalgebras are abelian or minimal nonabelian).
No associations
LandOfFree
Lie algebras with given properties of subalgebras and elements 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 Lie algebras with given properties of subalgebras and elements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie algebras with given properties of subalgebras and elements will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-713870