Reduction theory for a rational function field

被引：0

作者：

Amritanshu Prasad

机构：

[1] Max-Planck-Institut für Mathematik,

来源：

Proceedings of the Indian Academy of Sciences - Mathematical Sciences | 2003年 / 113卷

关键词：

Automorphic form; function field;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：153 / 163

页数：10

共 10 条

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