Bundle realizations and invariant connections in an Abelian principal bundle
Copyright policy )Bundle realizations and invariant connections in an Abelian principal bundle
In this paper the concept of bundle realization of a Lie group on an Abelian principal bundle is defined. This definition is based on the theory of locally operating realizations of Lie groups. Afterward the bundle realizations are studied and characterized into pseudoequivalence classes. This theory is applied to a systematic study and classification of invariant connections under a Lie group. In particular, some examples of gauge invariant potentials under some subgroups of the Poincaré group are worked out.
- University of Valladolid Spain
Finite-dimensional groups and algebras motivated by physics and their representations, Equivariant algebraic topology of manifolds, Poincaré group, Topological transformation groups, invariant connection, locally operating realizations, gauge invariant potentials, bundle realization of a Lie group on an Abelian principal bundle, Global differential geometry, Equivariant fiber spaces and bundles in algebraic topology
Finite-dimensional groups and algebras motivated by physics and their representations, Equivariant algebraic topology of manifolds, Poincaré group, Topological transformation groups, invariant connection, locally operating realizations, gauge invariant potentials, bundle realization of a Lie group on an Abelian principal bundle, Global differential geometry, Equivariant fiber spaces and bundles in algebraic topology
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