Representations and Corresponding Operators Induced by Hecke Algebras

被引：8

作者：

Cho, Ilwoo ^{[1
]}

机构：

[1] St Ambrose Univ, Dept Math, 421 Ambrose Hall,518 W Locust St, Davenport, IA 52803 USA

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2016年 / 10卷 / 03期

关键词：

Free probability; Free moments; Free cumulants; The Hecke algebra; Normal Hecke subalgebra; Free probability spaces; Representations; Operators; Hilbert spaces;

D O I：

10.1007/s11785-014-0418-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by establishing free-probabilistic models on the Hecke algebras H(Gp), we construct canonical free probability spaces (H (Gp), psi p), where G(p) = GL(2)(Q(p)), for primes p. Dependent upon such free-probabilistic structures, we study corresponding representations of H (G(p)), and consider spectral properties of operators realized under representations.

引用

页码：437 / 477

页数：41

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