Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2016 / Cilt: 65 - Sayı: 2

ON THE PROLONGATIONS OF HOMOGENEOUS VECTOR BUNDLES

ON THE PROLONGATIONS OF HOMOGENEOUS VECTOR BUNDLES

HÜLYA KADIOĞLU

Sayfa
47–53
DOI
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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 infinite dimensional linear representation, is also defined.