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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 1, Pages 82–85
DOI: https://doi.org/10.4213/faa2893 (Mi faa2893) 		 
Brief communications

Projective Characters of the Infinite Generalized Symmetric Group

A. V. Dudko, N. I. Nessonov

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
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DOI: https://doi.org/10.4213/faa2893
Abstract: We consider the infinite generalized symmetric group $S(\infty)\ltimes\mathbb{Z}_m^\infty$, introduce its covering $\tilde{B}_m$, and describe all indecomposable characters on the group $\tilde{B}_m$.
Keywords: projective representation, infinite generalized symmetric group, indecomposable character, covering group.
Received: 12.05.2006
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 1, Pages 69–71
DOI: https://doi.org/10.1007/s10688-008-0008-4
Bibliographic databases:
Document Type: Article
UDC: 512.547.4
Language: Russian
Citation: A. V. Dudko, N. I. Nessonov, “Projective Characters of the Infinite Generalized Symmetric Group”, Funktsional. Anal. i Prilozhen., 42:1 (2008), 82–85; Funct. Anal. Appl., 42:1 (2008), 69–71
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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