Reduction theory for a rational function field

被引：4

作者：

Prasad, A ^{[1
]}

机构：

[1] Max Planck Inst Math, D-53072 Bonn, Germany

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2003年 / 113卷 / 02期

关键词：

automorphic form; function field;

D O I：

10.1007/BF02829764

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a split reductive group over a finite field F-q. Let F = F-q (t) and. let A denote the adeles of F. We show that every double coset in G(F)\G(A)/K has a representative in a maximal split torus of G. Here K is the set of integral adelic points of G. When G 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.

引用

页码：153 / 163

页数：11