Algebra i Analiz
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



Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find






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


Algebra i Analiz, 2007, Volume 19, Issue 4, Pages 34–68 (Mi aa126)  

This article is cited in 32 scientific papers (total in 32 papers)

Research Papers

Can one see the signs of structure constants?

N. A. Vavilov

St. Petersburg State University, Department of Mathematics and Mechanics
References:
Abstract: It is described how one can see the signs of action structure constants directly in the weight diagram of microweight and adjoint representations for groups of types $\mathrm{E}_6$$\mathrm{E}_7$ and $\mathrm{E}_8$. This generalizes the results of the preceding paper, “A third look at weight diagrams”, where a similar algorithm was discussed for microweight representations of $\mathrm{E}_6$ and $\mathrm{E}_7$. The proofs are purely combinatorial and can be viewed as an elementary construction of Lie algebras and Chevalley groups of types $\mathrm{E}_l$ .
Keywords: Microweight representation, adjoint representation, weight diagram, structure constants.
Received: 06.11.2006
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 4, Pages 519–543
DOI: https://doi.org/10.1090/S1061-0022-08-01008-X
Bibliographic databases:
Document Type: Article
MSC: 20G05
Language: Russian
Citation: N. A. Vavilov, “Can one see the signs of structure constants?”, Algebra i Analiz, 19:4 (2007), 34–68; St. Petersburg Math. J., 19:4 (2008), 519–543
Citation in format AMSBIB
\Bibitem{Vav07}
\by N.~A.~Vavilov
\paper Can one see the signs of structure constants?
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 4
\pages 34--68
\mathnet{http://mi.mathnet.ru/aa126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2381932}
\zmath{https://zbmath.org/?q=an:1203.20041}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 4
\pages 519--543
\crossref{https://doi.org/10.1090/S1061-0022-08-01008-X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267653400002}
Linking options:
  • https://www.mathnet.ru/eng/aa126
  • https://www.mathnet.ru/eng/aa/v19/i4/p34
  • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024