Derivations and automorphisms of a Lie algebra of Block type

Details Derivations and automorphisms of a Lie algebra of Block type Derivations and automorphisms of a Lie algebra of Block type

2010-05-31

arxiv.org/abs/1005.5595v2

Mathematics

Rings and Algebras

LaTeX, 10 pages

Scientific paper

Let $\BB$ be the Lie algebra of Block type with basis $\{L_{\a,i}|\,\a,i\in\Z, i\geq0\}$ and relations $[L_{\a,i},L_{\b,j}]=\left((\a-1)(j+1)-(\b-1)(i+1)\right)L_{\a+\b,i+j}$. In the present paper, the derivation algebra and the automorphism group of $\BB$ are explicitly described. In particular, it is shown that the outer derivation space is 1-dimensional and the inner automorphism group of $\BB$ is trivial.

Affiliated with

Also associated with

No associations

Rating

Derivations and automorphisms of a Lie algebra of Block type 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 Derivations and automorphisms of a Lie algebra of Block type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivations and automorphisms of a Lie algebra of Block type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627388