Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 53–66 (Mi znsl465)  
This article is cited in 3 scientific papers (total in 4 papers)

$C$-algebras and algebras in Plancherel duality

A. M. Vershika, S. A. Evdokimovb, I. N. Ponomarenkoa

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b St. Petersburg Institute for Informatics and Automation of RAS
Full-text PDF (211 kB) Citations (4)
Abstract: For an arbitrary $C$-algebra (possibly non-commutative) a positivity condition generalizing the Krein condition for a commutative case is defined. We show that the class of positive $C$-algebras includes those arising in algebraic combinatorics from association schemes (possibly non-commutative). It is proved that the category of positive $C$-algebras is equivalent to the category of pairs of algebras in Plancherel duality one of which being commutative.
Received: 10.09.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 5, Pages 3478–3485
DOI: https://doi.org/10.1007/BF02175825
Bibliographic databases:
UDC: 517.896
Language: Russian
Citation: A. M. Vershik, S. A. Evdokimov, I. N. Ponomarenko, “$C$-algebras and algebras in Plancherel duality”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 53–66; J. Math. Sci. (New York), 96:5 (1999), 3478–3485
Citation in format AMSBIB
\Bibitem{VerEvdPon97}
\by A.~M.~Vershik, S.~A.~Evdokimov, I.~N.~Ponomarenko
\paper $C$-algebras and algebras in Plancherel duality
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 240
\pages 53--66
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl465}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691637}
\zmath{https://zbmath.org/?q=an:0960.16046}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 5
\pages 3478--3485
\crossref{https://doi.org/10.1007/BF02175825}
Linking options:
  • https://www.mathnet.ru/eng/znsl465
  • https://www.mathnet.ru/eng/znsl/v240/p53
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:281
    Full-text PDF :91
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024