Balaji, V. ; Biswas, I. ; Nagaraj, D.S. ; Parameswaran, A. J. (2006) Krull-Schmidt reduction of principal bundles in arbitrary characteristic Expositiones Mathematicae, 24 (3). pp. 281-289. ISSN 0723-0869
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S07230...
Related URL: http://dx.doi.org/10.1016/j.exmath.2005.11.004
Abstract
Let M be an irreducible projective variety defined over an algebraically closed field k, and let EG be a principal G-bundle over M, where G is a connected reductive linear algebraic group defined over k. We show that for EG there is a naturally associated conjugacy class of Levi subgroups of G. Given a Levi subgroup H in this conjugacy class, the principal G-bundle EG admits a reduction of structure group to H. Furthermore, this reduction is unique up to an automorphism of EG.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Principal Bundle; Krull-Schmidt Reduction |
| ID Code: | 35240 |
| Deposited On: | 20 Mar 2012 14:09 |
| Last Modified: | 04 Jul 2012 13:28 |
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