RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Sb.: Year: Volume: Issue: Page: Find

 Mat. Sb., 2008, Volume 199, Number 10, Pages 3–32 (Mi msb3953)

Characters of projective representations 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: By the infinite generalized symmetric group we mean the group $B_m=\mathfrak{S}_\infty\ltimes\mathbb{Z}_m^\infty$, where $\mathbb{Z}_m^\infty$ is the group of all sequences $ż_k\}_{k=1}^\infty$ in $\mathbb{Z}_m$ containing only finitely many non-zero elements $z_k$ and $\mathfrak{S}_\infty$ is the group of all finitely supported permutations of the positive integers. A complete description of the projective factor representations of $B_m$ of finite type is obtained.
Bibliography: 18 titles.
Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/sm3953

Full text: PDF file (718 kB)
References: PDF file   HTML file

English version:
Sbornik: Mathematics, 2008, 199:10, 1421–1450

Bibliographic databases:

UDC: 512.547.4
MSC: 20C32, 20C25

Citation: A. V. Dudko, N. I. Nessonov, “Characters of projective representations of the infinite generalized symmetric group”, Mat. Sb., 199:10 (2008), 3–32; Sb. Math., 199:10 (2008), 1421–1450

Citation in format AMSBIB
\Bibitem{DudNes08} \by A.~V.~Dudko, N.~I.~Nessonov \paper Characters of projective representations of the infinite generalized symmetric group \jour Mat. Sb. \yr 2008 \vol 199 \issue 10 \pages 3--32 \mathnet{http://mi.mathnet.ru/msb3953} \crossref{https://doi.org/10.4213/sm3953} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2473809} \zmath{https://zbmath.org/?q=an:1185.20013} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2008SbMat.199.1421D} \elib{http://elibrary.ru/item.asp?id=20359285} \transl \jour Sb. Math. \yr 2008 \vol 199 \issue 10 \pages 1421--1450 \crossref{https://doi.org/10.1070/SM2008v199n10ABEH003966} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000262711500005} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-66149103964}