Normal forms of $\omega$-Hamiltonian vector fields with symmetries

Patrícia Hernandes Baptistelli, Maria Elenice Rodrigues Hernandes, Eralcilene Moreira Terezio

In this paper, we present algebraic tools to obtain normal forms of $\omega$-Hamiltonian vector fields under a semisymplectic action of a Lie group, by taking into account the symmetrie…