Noether's second theorem in a general setting. Reducible gauge theories

Details Noether's second theorem in a general setting. Reducible gauge theories Noether's second theorem in a general setting. Reducible gauge theories

2004-11-03

arxiv.org/abs/math/0411070v2

J.Phys. A38 (2005) 5329-5344

Mathematics

Differential Geometry

20 pages, to be published in J. Phys. A (2005)

Scientific paper

10.1088/0305-4470/38/23/018

We prove Noether's direct and inverse second theorems for Lagrangian systems
on fiber bundles in the case of gauge symmetries depending on derivatives of
dynamic variables of an arbitrary order. The appropriate notions of reducible
gauge symmetries and Noether's identities are formulated, and their equivalence
by means of certain intertwining operator is proved.

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