C. G. Torre
Published 2010-11-15Version 1
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symmetric Criticality. After providing a little history, I describe necessary and sufficient conditions on a group action such that reduction of a group-invariant Lagrangian by the symmetry group yields the correct symmetry-reduced Euler-Lagrange equations.
Comments: 12 pages, to appear in the proceedings of the XIX International Fall Workshop on Geometry and Physics
Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality
Batalin-Vilkovisky formalism in the functional approach to classical field theory
On incompleteness of classical field theory
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