Biswas, Indranil ; Nagaraj, D. S. (2009) Principal bundles over the projective line Journal of Algebra, 322 (10). pp. 3478-3491. ISSN 0021-8693
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jalgebra.2009.09.008
Abstract
Let G be a connected reductive linear algebraic group defined over a field k and EG a principal G-bundle over the projective line Pk1 satisfying the condition that EG is trivial over some k-rational point of Pk1 If the field k is algebraically closed, then it is known that the principal G-bundle EG admits a reduction of structure group to the multiplicative group Gm. We prove this for arbitrary k. This extends the results of Harder (1968) [10] and Mehta and Subramanian (2002) [14].
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Principal Bundle; Projective Line; Semistability |
| ID Code: | 70227 |
| Deposited On: | 21 Nov 2011 10:56 |
| Last Modified: | 27 Jun 2012 13:48 |
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