Prasad, Amritanshu (2003) Reduction theory for a rational function field Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 113 (2). pp. 153-163. ISSN 0253-4142
Full text not available from this repository.
Official URL: http://doi.org/10.1007/BF02829764
Related URL: http://dx.doi.org/10.1007/BF02829764
Abstract
LetG be a split reductive group over a finite field Fq. LetF = Fq(t) and let A denote the adèles ofF. We show that every double coset inG(F)/G(A)/K has a representative in a maximal split torus ofG. HereK is the set of integral adèlic points ofG. WhenG ranges over general linear groups this is equivalent to the assertion that any algebraic vector bundle over the projective line is isomorphic to a direct sum of line bundles.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| ID Code: | 121522 |
| Deposited On: | 19 Jul 2021 06:12 |
| Last Modified: | 19 Jul 2021 06:12 |
Repository Staff Only: item control page
