Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1302–1315 (Mi smj1040)  
This article is cited in 7 scientific papers (total in 7 papers)

Dual coalgebras of Jordan bialgebras and superalgebras

V. N. Zhelyabin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (259 kB) Citations (7)
References:
PDF
HTML
Abstract: W. Michaelis showed for Lie bialgebras that the dual coalgebra of a Lie algebra is a Lie bialgebra. In the present article we study an analogous question in the case of Jordan bialgebras. We prove that a simple infinite-dimensional Jordan superalgebra of vector type possesses a nonzero dual coalgebra. Thereby, we demonstrate that the hypothesis formulated by W. Michaelis for Lie coalgebras fails in the case of Jordan supercoalgebras.
Keywords: Hopf algebra, Lie bialgebra, Jordan bialgebra, Jordan superalgebra, nonassociative coalgebra, local finite dimensionality, dual coalgebra.
Received: 26.05.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 6, Pages 1050–1061
DOI: https://doi.org/10.1007/s11202-005-0099-6
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, “Dual coalgebras of Jordan bialgebras and superalgebras”, Sibirsk. Mat. Zh., 46:6 (2005), 1302–1315; Siberian Math. J., 46:6 (2005), 1050–1061
Citation in format AMSBIB
\Bibitem{Zhe05}
\by V.~N.~Zhelyabin
\paper Dual coalgebras of Jordan bialgebras and superalgebras
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 6
\pages 1302--1315
\mathnet{http://mi.mathnet.ru/smj1040}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2195030}
\zmath{https://zbmath.org/?q=an:1118.17009}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 6
\pages 1050--1061
\crossref{https://doi.org/10.1007/s11202-005-0099-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234073700007}
Linking options:
  • https://www.mathnet.ru/eng/smj1040
  • https://www.mathnet.ru/eng/smj/v46/i6/p1302
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:304
    Full-text PDF :80
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024