Structure of a class of Lie algebras of Block type

Details Structure of a class of Lie algebras of Block type Structure of a class of Lie algebras of Block type

2011-02-25

arxiv.org/abs/1102.5183v1

Mathematics

Rings and Algebras

16 pages, Latex file, to appear in Comm. Alg

Scientific paper

Let $\BB$ be a class of Lie algebras of Block type with basis $\{L_{\a,i}|\a,i\in\Z, i\geq 0\}$ and relations $[L_{\a,i},L_{\b,j}]=(\b(i+q)-\a(j+q))L_{\a+\b,i+j}$, where $q$ is a positive integer. In this paper, it is shown that $\BB$ are different from each other for distinct positive integers $q$'s. The automorphism groups, the derivation algebras and the central extensions of all $\BB$ are also uniformly and explicitly described, which generalize some previous results.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-709541