Irreducible Representations of the Free Product of Groups

被引：1

作者：

Hebisch, Waldemar ^{[1
]}

Mlotkowski, Wojciech ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2010年 / 59卷 / 01期

关键词：

free product; irreducible representation; UNIFORMLY BOUNDED REPRESENTATIONS; SPHERICAL-FUNCTIONS; HARMONIC-ANALYSIS; ANALYTIC FAMILY; RANDOM-WALKS; ALGEBRAS;

D O I：

10.1512/iumj.2010.59.3739

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some properties, such as uniform boundedness, unitarity and irreducibility, of a class of representations of the free product of groups. In particular we show that the spherical functions on the free product of two groups, introduced by Cartwright and Soardi, are coefficients of irreducible representations.

引用

页码：131 / 182

页数：52

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