RUS  ENG
Full version
JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2008 Volume 42, Issue 1, Pages 82–85 (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

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.

UDC: 512.547.4

Received: 12.05.2006

DOI: 10.4213/faa2893


 English version: Functional Analysis and Its Applications, 2008, 42:1, 69–71

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025