On the prolongations of homogeneous vector bundles

Year 2016, Volume: 65 Issue: 2, 47 - 54, 01.08.2016

Hülya Kadıoğlu

https://doi.org/10.1501/Commua1_0000000758

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