5 Poisson Brackets and Comoment Maps
We set up the Poisson bracket algebra and encode the symmetry data by scalar Hamiltonians. We prove that \(u \mapsto L_u\) is an \(\mathfrak {so}(3)\)-comoment and then compute \(\{ A_u, A_v\} \).
We set up the Poisson bracket algebra and encode the symmetry data by scalar Hamiltonians. We prove that \(u \mapsto L_u\) is an \(\mathfrak {so}(3)\)-comoment and then compute \(\{ A_u, A_v\} \).