Can I read Alg\`ebres de Poisson et alg\`ebres de Lie r\'esolubles on EtoBox?

Alg\`ebres de Poisson et alg\`ebres de Lie r\'esolubles by Tauvel, Patrice; Yu, Rupert W. T is a scholarly article available to read on EtoBox.

What is Alg\`ebres de Poisson et alg\`ebres de Lie r\'esolubles about?

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.

Author

Tauvel, Patrice; Yu, Rupert W. T

Published

2007

Language

EN