Haar measure and the Artin conductor

被引：25

作者：

Gross, BH ^{[1
]}

Gan, WT

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08540 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 04期

关键词：

D O I：

10.1090/S0002-9947-99-02095-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a connected reductive group, defined over a local, non-archimedean field k. The group G(k) is locally compact and unimodular. In On the motive of a reductive group, Invent. Math. 130 (1997), by B. H. Gross, a Haar measure \omega(G)\ was defined on G(k), using the theory of Bruhat and Tits. In this note, we give another construction of the measure \omega G\, using the Artin conductor of the motive M of G over k. The equivalence of the two constructions is deduced from a result of G. Prasad.

引用

页码：1691 / 1704

页数：14

共 14 条

[1]

[Anonymous], 1996, CAMBRIDGE STUDIES AD

[2]

Bruhat T., 1972, Publications Mathematiques de l'I.H.E.S, V41, P5

[3] INVARIANTS OF FINITE GROUPS GENERATED BY REFLECTIONS [J].