On homogeneous vector bundles |
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Authors: | Indranil Biswas S. Subramanian |
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Affiliation: | School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India |
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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). |
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Keywords: | 14L30 14M17 |
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