Character formula for wreath products of compact groups with the infinite symmetric group

Takeshi Hirai; Etsuko Hirai

Banach Center Publications (2006)

  • Volume: 73, Issue: 1, page 207-221
  • ISSN: 0137-6934

Abstract

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Let G = ( T ) be the wreath product of a compact group T with the infinite symmetric group . We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.

How to cite

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Takeshi Hirai, and Etsuko Hirai. "Character formula for wreath products of compact groups with the infinite symmetric group." Banach Center Publications 73.1 (2006): 207-221. <http://eudml.org/doc/281964>.

@article{TakeshiHirai2006,
abstract = {Let $G = _\{∞\}(T)$ be the wreath product of a compact group T with the infinite symmetric group $_\{∞\}$. We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.},
author = {Takeshi Hirai, Etsuko Hirai},
journal = {Banach Center Publications},
keywords = {character; factor representation; infinite symmetric group; compact group; wreath product of compact group with the infinite symmetric group},
language = {eng},
number = {1},
pages = {207-221},
title = {Character formula for wreath products of compact groups with the infinite symmetric group},
url = {http://eudml.org/doc/281964},
volume = {73},
year = {2006},
}

TY - JOUR
AU - Takeshi Hirai
AU - Etsuko Hirai
TI - Character formula for wreath products of compact groups with the infinite symmetric group
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 207
EP - 221
AB - Let $G = _{∞}(T)$ be the wreath product of a compact group T with the infinite symmetric group $_{∞}$. We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.
LA - eng
KW - character; factor representation; infinite symmetric group; compact group; wreath product of compact group with the infinite symmetric group
UR - http://eudml.org/doc/281964
ER -

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