Nondegeneracy of the Lie algebra aff(n)

Details Nondegeneracy of the Lie algebra aff(n) Nondegeneracy of the Lie algebra aff(n)

2002-08-05

arxiv.org/abs/math/0208036v3

Mathematics

Symplectic Geometry

Some typos corrected. To appear in CRAS Paris

Scientific paper

We show that $\mathfrak{aff}(n)$, the Lie algebra of affine transformations
of ${\mathbb R}^n,$ is formally and analytically nondegenerate in the sense of
A. Weinstein. This means that every analytic (resp., formal) Poisson structure
vanishing at a point with a linear part corresponding to $\mathfrak{aff}(n)$ is
locally analytically (resp., formally) linearizable.

Affiliated with

Also associated with

No associations

Rating

Nondegeneracy of the Lie algebra aff(n) 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 Nondegeneracy of the Lie algebra aff(n), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nondegeneracy of the Lie algebra aff(n) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-251173