Normal forms for elements of o(p, q) and Hamiltonians with integrals linear in momenta
Gerard Thompson · ANZIAM Journal · 1992
Abstract We solve the problem of finding a simultaneous matrix normal form for an element of the Lie algebra o(p, q) and the underlying indefinite inner product. The results are used to determine several classes of classical Hamiltonian dynamical systems which possess a first integral linear in the momentum variables.