Some remarks about the second Leibniz cohomology group for Lie algebras

Details Some remarks about the second Leibniz cohomology group for Lie algebras Some remarks about the second Leibniz cohomology group for Lie algebras

2008-12-15

arxiv.org/abs/0812.2741v1

Mathematics

Rings and Algebras

25 pages, 2 Tables

Scientific paper

We compare by a very elementary approach the second adjoint and trivial Leibniz cohomology spaces of a Lie algebra to the usual ones. Examples are given of coupled cocycles. Some properties are deduced as to Leibniz deformations. We also consider the class of Lie algebras for which the Koszul 3-form is zero, and prove that it contains all quotients of Borel subalgebras, or of their nilradicals, of finite dimensional semisimple Lie algebras. Finally, a list of Kac-Moody types for indecomposable nilpotent Lie algebras of dimension $\leqslant 7$ is given.

Affiliated with

Also associated with

No associations

Rating

Some remarks about the second Leibniz cohomology group for Lie algebras 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 Some remarks about the second Leibniz cohomology group for Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some remarks about the second Leibniz cohomology group for Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348804