Biswas, Indranil ; Subramanian, S.
(2008)
*On homogeneous vector bundles*
Bulletin des Sciences Mathematiques, 132
(5).
pp. 419-424.
ISSN 0007-4497

Full text not available from this repository.

Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00074...

Related URL: http://dx.doi.org/10.1016/j.bulsci.2008.02.002

## Abstract

Let G be a simply connected linear algebraic group, defined over the field of complex numbers, whose Lie algebra is simple. Let P be a proper parabolic subgroup of G. Let E be a holomorphic vector bundle over G/P such that E admits a homogeneous structure. Assume that E is not stable. Then E admits a homogeneous structure with the following property: There is a nonzero subbundle F⊆E left invariant by the action of G such that degree(F)/rank(F)≥ degree(E)/rank(E).

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Elsevier Science. |

Keywords: | Homogeneous space; Vector bundle; Stability |

ID Code: | 3584 |

Deposited On: | 12 Oct 2010 04:33 |

Last Modified: | 12 Oct 2010 04:33 |

Repository Staff Only: item control page