Lagrangian densities invariant under the full
Lie algebra of the infinitesimal automorphisms of a principal bundle

P. L. GARC\'IA P\'EREZ AND J. MU\~NOZ MASQU\'E

Abstract. First order Lagrangian densities on the bundle of connections
of a principal bundle invariant under the full Lie algebra of the
infinitesimal automorphisms of the principal bundle are classified.

Keywords. Bundle of connections, infinitesimal automorphism of a
principal bundle, invariant Lagrangian densities.

MS classification. 58E30, 49S05, 53C05, 57R20.