Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582591 | Expositiones Mathematicae | 2006 | 9 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
V. Balaji, I. Biswas, D.S. Nagaraj, A.J. Parameswaran,