On the prolongations of homogeneous vector bundles
Copyright policy )On the prolongations of homogeneous vector bundles
In this paper, we introduce a study of prolongations of homogeneous vector bundles. We give an alternative approach for the prolongation. For a given homogeneous vector bundle E, we obtain a new homogeneous vector bundle. The homogeneous structure and its corresponding representation are derived. The prolongation of induced representation, which is an infinite dimensional linear representation, is also defined.
8 pages
Homogeneous space;prolongation;homogeneous vector bundles, Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, Primary 58A05, Secondary 22E60
Homogeneous space;prolongation;homogeneous vector bundles, Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, Primary 58A05, Secondary 22E60
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