Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
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




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

Sbornik: Mathematics, 2012, Volume 203, Issue 1, Pages 75–87
DOI: https://doi.org/10.1070/SM2012v203n01ABEH004214 (Mi sm7799) 		 
Representations of filtered solvable Lie algebras

A. N. Panov

Samara State University
English version PDF (420 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2012v203n01ABEH004214
Abstract: The representation theory of filtered solvable Lie algebras is constructed. In this framework a classification of irreducible representations is obtained and spectra of some reducible representations are found.
Bibliography: 9 titles.
Keywords: filtrations of Lie algebras, representations of Lie algebras, orbit method, Vergne polarization.
Received: 13.10.2010
Bibliographic databases:
Document Type: Article
UDC: 512.554.3
MSC: 17B10, 17B30
Language: English
Original paper language: Russian
Citation: A. N. Panov, “Representations of filtered solvable Lie algebras”, Sb. Math., 203:1 (2012), 75–87
Citation in format AMSBIB
\Bibitem{Pan12}
\by A.~N.~Panov
\paper Representations of filtered solvable Lie algebras
\jour Sb. Math.
\yr 2012
\vol 203
\issue 1
\pages 75--87
\mathnet{http://mi.mathnet.ru/eng/sm7799}
\crossref{https://doi.org/10.1070/SM2012v203n01ABEH004214}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2933093}
\zmath{https://zbmath.org/?q=an:06039342}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012SbMat.203...75P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000301886900004}
\elib{https://elibrary.ru/item.asp?id=19066312}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84858783271}
Linking options:
  • https://www.mathnet.ru/eng/sm7799
  • https://doi.org/10.1070/SM2012v203n01ABEH004214
  • https://www.mathnet.ru/eng/sm/v203/i1/p77
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025