Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 3, Pages 3–11
DOI: https://doi.org/10.4213/faa739 (Mi faa739) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Traces on Infinite-Dimensional Brauer Algebras

A. M. Vershik, P. P. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (204 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa739
Abstract: We prove a theorem describing central measures for random walks on graded graphs. Using this theorem, we obtain the list of all finite traces on three infinite-dimensional algebras, namely, on the Brauer algebra, the walled Brauer algebra, and the partition algebra. The main result is that these lists coincide with the list of traces of the symmetric group or (for the walled Brauer algebra) of the square of the symmetric group.
Keywords: Brauer algebra, walled Brauer algebra, partition algebra, central measure, finite trace.
Received: 31.03.2006
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 3, Pages 165–172
DOI: https://doi.org/10.1007/s10688-006-0028-x
Bibliographic databases:
Document Type: Article
UDC: 519.17+519.21
Language: Russian
Citation: A. M. Vershik, P. P. Nikitin, “Traces on Infinite-Dimensional Brauer Algebras”, Funktsional. Anal. i Prilozhen., 40:3 (2006), 3–11; Funct. Anal. Appl., 40:3 (2006), 165–172
Citation in format AMSBIB
\Bibitem{VerNik06}
\by A.~M.~Vershik, P.~P.~Nikitin
\paper Traces on Infinite-Dimensional Brauer Algebras
\jour Funktsional. Anal. i Prilozhen.
\yr 2006
\vol 40
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/faa739}
\crossref{https://doi.org/10.4213/faa739}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2265681}
\zmath{https://zbmath.org/?q=an:1137.20011}
\elib{https://elibrary.ru/item.asp?id=9296639}
\transl
\jour Funct. Anal. Appl.
\yr 2006
\vol 40
\issue 3
\pages 165--172
\crossref{https://doi.org/10.1007/s10688-006-0028-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000241583800002}
\elib{https://elibrary.ru/item.asp?id=13506838}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749522339}
Linking options:
  • https://www.mathnet.ru/eng/faa739
  • https://doi.org/10.4213/faa739
  • https://www.mathnet.ru/eng/faa/v40/i3/p3
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:588
    Full-text PDF :232
    References:72
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024