Coadjoint Orbits of Lie Algebras and Cartan Class
Coadjoint Orbits of Lie Algebras and Cartan Class
We study the coadjoint orbits of a Lie algebra in terms of Cartan class. In fact, the tangent space to a coadjoint orbit $\mathcal{O}(\alpha)$ at the point $\alpha$ corresponds to the characteristic space associated to the left invariant form;$\alpha$ and its dimension is the even part of the Cartan class …