Symmetry Reduction of sh-Lie Structures and of Local Functionals

Details Symmetry Reduction of sh-Lie Structures and of Local Functionals Symmetry Reduction of sh-Lie Structures and of Local Functionals

2003-08-14

arxiv.org/abs/math-ph/0308016v2

Differ.Geom.Appl. 21 (2004) 215-227

Physics

Mathematical Physics

18 pages

Scientific paper

Reduced sh-Lie structures have been studied for the case when a Lie group acts on the fibers of a vector bundle while preserving the base space of the bundle. In this paper we investigate how one obtains a reduced sh-Lie structure using the ideas of symmetry reduction where the action of the Lie group is transversal to the fibers of the bundle. We also show how local functionals are reduced using these ideas.

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