Finite-dimensional Lie algebras of order F

Details Finite-dimensional Lie algebras of order F Finite-dimensional Lie algebras of order F

2002-05-13

arxiv.org/abs/hep-th/0205113v1

J.Math.Phys.43:5145-5160,2002

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LateX

Scientific paper

10.1063/1.1503148

$F-$Lie algebras are natural generalisations of Lie algebras (F=1) and Lie superalgebras (F=2). When $F>2$ not many finite-dimensional examples are known. In this paper we construct finite-dimensional $F-$Lie algebras $F>2$ by an inductive process starting from Lie algebras and Lie superalgebras. Matrix realisations of $F-$Lie algebras constructed in this way from $\mathfrak{su}(n), \mathfrak{sp}(2n)$ $\mathfrak{so}(n)$ and $\mathfrak{sl}(n|m)$, $\mathfrak{osp}(2|m)$ are given. We obtain non-trivial extensions of the Poincar\'e algebra by In\"on\"u-Wigner contraction of certain $F-$Lie algebras with $F>2$.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422916