On the prolongations of homogeneous vector bundles

Abstract

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 representationare derived. The prolongation of induced representation, which is an in finite dimensional linear representation, is also defined

Keywords

• Homogeneous space, prolongation, homogeneous vector bundles

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16. Current address : Hülya KADIO ¼GLU :Department of Mathematics Education, Yildiz Technical University Istanbul TURKEY E-mail address : [e-mail]