Algèbres de Poisson et algèbres de Lie résolubles

الأصل · EN

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