Symmetries and Reduction -- part I -- Poisson and symplectic picture
arXiv:2006.03380 · doi:10.1142/S0219887820300020
Abstract
Coherently with the principle of analogy suggested by Dirac, we describe a general setting for reducing a classical dynamics, and the role of the Noether theorem -- connecting symmetries with constants of the motion -- within a reduction. This is the first of two papers, and it focuses on the reduction within the Poisson and the symplectic formalism.
50 pages, revised version