ON THE PROLONGATIONS OF HOMOGENEOUS VECTOR BUNDLES


Kadıoğlu H.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.65, ss.47-53, 2016 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 65 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1501/commual_0000000758
  • Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.47-53

Özet

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.