EXPLICIT COMPUTATIONS IN HECKE ALGEBRAS OF GL2 OVER DEDEKIND DOMAINS

被引：0

作者：

Ensenbach, Marc ^{[1
]}

机构：

[1] Univ Siegen, Dept Math, D-57068 Siegen, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 11期

关键词：

Unimodular group; Dedekind domain; congruence subgroup; index formula; Hecke algebra; MODULAR-FORMS; OPERATORS;

D O I：

10.1090/S0002-9939-2013-11651-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a formula for the number of right cosets contained in a double coset with respect to the unimodular group of invertible (2 x 2)matrices over a Dedekind domain is developed. As applications we derive an index formula for congruence subgroups and an algorithm for the explicit calculation of products in Hecke algebras.

引用

页码：3709 / 3722

页数：14