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arXiv · 1310.1696

On the Prolongations of Homogeneous Vector Bundles

Hulya Kadioglu
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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 representation are derived. The prolongation of induced representation, which is an infinite dimensional linear representation, is also defined.

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Hulya Kadioglu. 2013-10-07. On the Prolongations of Homogeneous Vector Bundles. https://doi.org/10.1501/commua1_0000000758

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