Publication details
Lagrangian reductive structures on gauge-natural bundles
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | Reports on Mathematical Physics |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1016/S0034-4877%2808%2980028-6 |
| Field | General mathematics |
| Keywords | jet space; variational sequence; self-adjoint morphism; reductive structure |
| Description | A reductive structure is associated here with the Lagrangian canonically defined conserved quantities on gauge-natural bundles. Infinitesimal 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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