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, 2010, Volume 22, Issue 5, Pages 104–130 (Mi aa1206)  

This article is cited in 8 scientific papers (total in 8 papers)

Research Papers

Orthogonal subsets of root systems and the orbit method

M. V. Ignat'ev

Samara State University, Samara, Russia
Full-text PDF (371 kB) Citations (8)
References:
Abstract: Let $k$ be the algebraic closure of a finite field, $G$ a Chevalley group over $k$, $U$ the maximal unipotent subgroup of $G$. To each orthogonal subset $D$ of the root system of $G$ and each set $\xi$ of $|D|$ nonzero scalars in $k$ one can assign the coadjoint orbit of $U$. It is proved that the dimension of such an orbit does not depend on $\xi$. An upper bound for this dimension is also given in terms of the Weyl group.
Keywords: orthogonal subsets of root systems, coadjoint orbits.
Received: 14.04.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 5, Pages 777–794
DOI: https://doi.org/10.1090/S1061-0022-2011-01167-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Ignat'ev, “Orthogonal subsets of root systems and the orbit method”, Algebra i Analiz, 22:5 (2010), 104–130; St. Petersburg Math. J., 22:5 (2011), 777–794
Citation in format AMSBIB
\Bibitem{Ign10}
\by M.~V.~Ignat'ev
\paper Orthogonal subsets of root systems and the orbit method
\jour Algebra i Analiz
\yr 2010
\vol 22
\issue 5
\pages 104--130
\mathnet{http://mi.mathnet.ru/aa1206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2828828}
\zmath{https://zbmath.org/?q=an:1246.17011}
\transl
\jour St. Petersburg Math. J.
\yr 2011
\vol 22
\issue 5
\pages 777--794
\crossref{https://doi.org/10.1090/S1061-0022-2011-01167-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000295022600004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865461040}
Linking options:
  • https://www.mathnet.ru/eng/aa1206
  • https://www.mathnet.ru/eng/aa/v22/i5/p104
  • This publication is cited in the following 8 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
    Statistics & downloads:
    Abstract page:361
    Full-text PDF :102
    References:45
    First page:11
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024