Homogeneous symplectic 4-manifolds and finite dimensional Lie algebras of symplectic vector fields on the symplectic 4-space

D. Alekseevsky, A. Santi

We classify the finite type (in the sense of E. Cartan theory of prolongations) subalgebras $\mathfrak{h}\subset \mathfrak{sp}(V)$, where $V$ is the symplectic 4-dimensional space,…