Canonical Noether symmetries and commutativity properties for gauge systems

Abstract

For a dynamical system defined by a singular Lagrangian, canonical Noether symmetries are characterized in terms of their commutation relations with the evolution operators of Lagrangian and Hamiltonian formalisms. Separate characterizations are given in phase space, in velocity space, and through an evolution operator that links both spaces.

22 pages; some references updated, an uncited reference deleted, minor style changes

References in corpus (2)

• Gauge Transformations in Einstein-Yang-Mills Theories
• Fibre derivatives: some applications to singular lagrangians

Cited by in corpus (2)

• Singular lagrangians: some geometric structures along the Legendre map
• On the construction of K-operators in field theories as sections along Legendre maps