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, 2008, Volume 20, Issue 1, Pages 93–137 (Mi aa499)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Gröbner–Shirshov bases of the Lie algebra Bn+

A. N. Koryukin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (477 kB) Citations (2)
References:
PDF
HTML
Abstract: The minimal Gröbner–Shirshov bases of the positive part Bn+ of the simple finite-dimensional Lie algebra Bn over an arbitrary field of characteristic 0 are calculated, for the generators associated with simple roots and for an arbitrary ordering of these generators (i.e., an arbitrary one of n! Gröbner–Shirshov bases is chosen and studied). This is a completely new class of problems; till now this program was carried out only for the Lie algebra An+. The minimal Gröbner–Shirshov basis of the Lie algebra Bn+ was calculated earlier by Bokut and Klein, but this was done for only one ordering of generators.
Received: 29.01.2007
English version:
St. Petersburg Mathematical Journal, 2009, Volume 20, Issue 1, Pages 65–94
DOI: https://doi.org/10.1090/S1061-0022-08-01038-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Koryukin, “Gröbner–Shirshov bases of the Lie algebra Bn+”, Algebra i Analiz, 20:1 (2008), 93–137; St. Petersburg Math. J., 20:1 (2009), 65–94
Citation in format AMSBIB
\Bibitem{Kor08}
\by A.~N.~Koryukin
\paper Gr\"obner--Shirshov bases of the Lie algebra $B_n^+$
\jour Algebra i Analiz
\yr 2008
\vol 20
\issue 1
\pages 93--137
\mathnet{http://mi.mathnet.ru/aa499}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2411970}
\zmath{https://zbmath.org/?q=an:1206.17006}
\elib{https://elibrary.ru/item.asp?id=10021839}
\transl
\jour St. Petersburg Math. J.
\yr 2009
\vol 20
\issue 1
\pages 65--94
\crossref{https://doi.org/10.1090/S1061-0022-08-01038-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497300004}
Linking options:
  • https://www.mathnet.ru/eng/aa499
  • https://www.mathnet.ru/eng/aa/v20/i1/p93
    • This publication is cited in the following 2 articles:
    1. Koryukin A.N., “Sistemy kornei, redutsirovannye slova i polnye redutsirovannye sistemy sootnoshenii algebr Li”, Dokl. Akademii nauk vysshei shkoly RF, 2011, no. 2, 15–24  elib
    2. A. N. Koryukin, “Gröbner–Shirshov bases of the Lie algebra Dn+”, St. Petersburg Math. J., 22:4 (2011), 573–614  mathnet  crossref  mathscinet  zmath  isi
    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:594
    Full-text PDF :160
    References:91
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025