On the structure of infinitesimal automorphisms of linear Poisson manifolds. II (Q757850)

The author continues the study of linear Poisson manifolds (see the review, above). For the case \(G=SO(3,{\mathbb{R}})\) it is proved that any infinitesimal automorphism is tangent to orbits at each point. Similarly with the case SL(2,\({\mathbb{R}})\), the derivation algebra of the polynomial Poisson algebra of so(3,\({\mathbb{R}})\) is determined.