Higher-order simple Lie algebras

Details Higher-order simple Lie algebras Higher-order simple Lie algebras

1996-05-30

arxiv.org/abs/hep-th/9605213v3

Commun.Math.Phys. 184 (1997) 669-681

Physics

High Energy Physics

High Energy Physics - Theory

20 pages. Plain latex file. Minor changes. To appear in Commun. Math. Phys

Scientific paper

10.1007/s002200050079

It is shown that the non-trivial cocycles on simple Lie algebras may be used to introduce antisymmetric multibrackets which lead to higher-order Lie algebras, the definition of which is given. Their generalised Jacobi identities turn out to be satisfied by the antisymmetric tensors (or higher-order `structure constants') which characterise the Lie algebra cocycles. This analysis allows us to present a classification of the higher-order simple Lie algebras as well as a constructive procedure for them. Our results are synthesised by the introduction of a single, complete BRST operator associated with each simple algebra.

Affiliated with

Also associated with

No associations

Rating

Higher-order simple 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 Higher-order simple Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher-order simple Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-696455