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

共 50 条

[21] ON IRREDUCIBLE REPRESENTATIONS OF THE FREE GROUP
Hebisch, Waldemar
COLLOQUIUM MATHEMATICUM, 2024, 175 (02)
[22] GENERICALLY FREE REPRESENTATIONS II: IRREDUCIBLE REPRESENTATIONS
Garibaldi, Skip
Guralnick, Robert M.
TRANSFORMATION GROUPS, 2020, 25 (03) : 793 - 817
[23] GENERICALLY FREE REPRESENTATIONS II: IRREDUCIBLE REPRESENTATIONS
SKIP GARIBALDI
ROBERT M. GURALNICK
Transformation Groups, 2020, 25 : 793 - 817
[24] IRREDUCIBLE REPRESENTATIONS OF BRAID-GROUPS
TONG, DM
ZHU, CJ
MA, ZQ
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (08) : 2660 - 2663
[25] RESTRICTION OF IRREDUCIBLE REPRESENTATIONS OF GROUPS TO A SUBGROUP
WIGNER, EP
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1971, 322 (1549): : 181 - &
[26] IRREDUCIBLE REPRESENTATIONS OF FINITE-GROUPS
FLODMARK, S
JANSSON, PO
PHYSICA A, 1982, 114 (1-3): : 485 - 492
[27] On irreducible representations of discrete Heisenberg groups
S. A. Arnal’
A. N. Parshin
Mathematical Notes, 2012, 92 : 295 - 301
[28] The largest irreducible representations of simple groups
Larsen, Michael
Malle, Gunter
Pham Huu Tiep
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2013, 106 : 65 - 96
[29] COMPLETION OF FREE GROUPS BY MEANS OF INFINITE PRODUCT REPRESENTATIONS
BRUCK, RH
MATHEMATISCHE ZEITSCHRIFT, 1970, 118 (01) : 9 - &
[30] PRIMITIVE IRREDUCIBLE REPRESENTATIONS OF NILPOTENT GROUPS
HARPER, DL
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1977, 82 (SEP) : 241 - 247

← 1 2 3 4 5 →