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