- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:65 Issue:2
- On the prolongations of homogeneous vector bundles
On the prolongations of homogeneous vector bundles
Authors : Hülya KADIOĞLU
Pages : 47-54
Doi:10.1501/Commua1_0000000758
View : 11 | Download : 8
Publication Date : 2016-08-01
Article Type : Research Paper
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 definedKeywords : Homogeneous space, prolongation, homogeneous vector bundles