Algèbres de Poisson et algèbres de Lie résolubles

Details Algèbres de Poisson et algèbres de Lie résolubles Algèbres de Poisson et algèbres de Lie résolubles

2007-02-21

arxiv.org/abs/math/0702615v1

Mathematics

Rings and Algebras

This paper is in french

Scientific paper

Let $\mathfrak{g}$ be a solvable Lie algebra and $Q$ an $ad \mathfrak{g}$-stable prime ideal of the symmetric algebra $S(\mathfrak{g})$ of $\mathfrak{g}$. If $E$ is the set of non zero elements of $S(\mathfrak{g})/Q$ which are eigenvectors for the adjoint action of $\mathfrak{g}$ in $S(\mathfrak{g})/Q$, the localised algebra $(S(\mathfrak{g})/Q)_{E}$ has a natural structure of Poisson algebra. We study this algebra here.

Affiliated with

Also associated with

No associations

Rating

Algèbres de Poisson et algèbres de Lie résolubles 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 Algèbres de Poisson et algèbres de Lie résolubles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algèbres de Poisson et algèbres de Lie résolubles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84401