Local symmetries in the Hamiltonian framework. 1. Hamiltonian form of the symmetries and the Noether identities

A. A. Deriglazov, K. E. Evdokimov

We study in the Hamiltonian framework the local transformations ${\delta }_{\epsilon }{q}^A(\tau )={\sum }_{k=0}^{[k]}{\partial }_{\tau }^k{\epsilon }^a{R}_{(k)a}{}^A(q^B,{\dot{q}}^C)$ which leave invariant the Lagrangian actio…