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, 2004, Volume 45, Number 5, Pages 1189–1194 (Mi smj1129)  
The finite dimension property of the irreducible representations of noetherian $p$-Lie algebras

M. A. Shevelin

Omsk State University
Full-text PDF (167 kB)
References:
PDF
HTML
Abstract: We prove that the irreducible representations are finite-dimensional of the almost solvable restricted Lie algebras with the ascending chain condition for $p$-subalgebras over a perfect field.
Keywords: polycyclic-by-finite $p$-Lie algebra, restricted universal enveloping algebra, irreducible representation.
Received: 23.01.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 978–982
DOI: https://doi.org/10.1023/B:SIMJ.0000042486.47386.8c
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: M. A. Shevelin, “The finite dimension property of the irreducible representations of noetherian $p$-Lie algebras”, Sibirsk. Mat. Zh., 45:5 (2004), 1189–1194; Siberian Math. J., 45:5 (2004), 978–982
Citation in format AMSBIB
\Bibitem{She04}
\by M.~A.~Shevelin
\paper The finite dimension property of the irreducible representations of noetherian $p$-Lie algebras
\jour Sibirsk. Mat. Zh.
\yr 2004
\vol 45
\issue 5
\pages 1189--1194
\mathnet{http://mi.mathnet.ru/smj1129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2108513}
\zmath{https://zbmath.org/?q=an:1059.17006}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 5
\pages 978--982
\crossref{https://doi.org/10.1023/B:SIMJ.0000042486.47386.8c}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000224788300017}
Linking options:
  • https://www.mathnet.ru/eng/smj1129
  • https://www.mathnet.ru/eng/smj/v45/i5/p1189
    • 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:272
    Full-text PDF :80
    References:63
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024