The Weil representation and Gauss sums

被引：1

作者：

Bluher, A

机构：

[1] National Security Agency, Simpsonville, MD 21150

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1996年 / 173卷 / 02期

关键词：

D O I：

10.2140/pjm.1996.173.357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the Well representation to evaluate certain Gauss sums over a local field, up to +/- 1. Also we construct a cocycle on Sp(2m,R) with a simple formula on the maximal compact torus and we show how to lift homomorphisms j:Sp(2n,R) --> Sp(2m, R) to the double covers of these groups.

引用

页码：357 / 373

页数：17

共 9 条

[1]

BLUHER A, THETA CORRES R

[2]

IGUSA J, 1972, THETA FUNCTIONS

[3] SOME APPLICATIONS OF WEIL REPRESENTATION [J].