Lagrangian reductive structures on gauge-natural bundles

Details Lagrangian reductive structures on gauge-natural bundles Lagrangian reductive structures on gauge-natural bundles

2007-12-06

arxiv.org/abs/0712.0925v3

Rep. Math. Phys. 62(2) (2008) 229--239.

Physics

Mathematical Physics

11 pages, remarks and comments added, this version published in ROMP

Scientific paper

10.1016/S0034-4877(08)80028-6

A reductive structure is associated here with Lagrangian canonically defined conserved quantities on gauge-natural bundles. Parametrized transformations defined by the gauge-natural lift of infinitesimal principal automorphisms induce a variational sequence such that the generalized Jacobi morphism is naturally self-adjoint. As a consequence, its kernel defines a reductive split structure on the relevant underlying principal bundle.

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