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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 272, Pages 273–285 (Mi znsl1376)  
This article is cited in 6 scientific papers (total in 6 papers)

The arrangement of the long and short root subgroups in the Chevalley group of type $G_2$

V. V. Nesterov

Baltic State Technical University
Full-text PDF (212 kB) Citations (6)
Abstract: We describe subgroups generated by a long and short root subgroups in a Chevalley group of type $G_2$ and classify orbits of the group acting on such pairs by simultaneous conjugation.
Received: 20.06.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 116, Issue 1, Pages 3035–3041
DOI: https://doi.org/10.1023/A:1023419230216
Bibliographic databases:
UDC: 512.542.6
Language: Russian
Citation: V. V. Nesterov, “The arrangement of the long and short root subgroups in the Chevalley group of type $G_2$”, Problems in the theory of representations of algebras and groups. Part 7, Zap. Nauchn. Sem. POMI, 272, POMI, St. Petersburg, 2000, 273–285; J. Math. Sci. (N. Y.), 116:1 (2003), 3035–3041
Citation in format AMSBIB
\Bibitem{Nes00}
\by V.~V.~Nesterov
\paper The arrangement of the long and short root subgroups in the Chevalley group of type~$G_2$
\inbook Problems in the theory of representations of algebras and groups. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 272
\pages 273--285
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1376}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1811807}
\zmath{https://zbmath.org/?q=an:1069.20035}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 116
\issue 1
\pages 3035--3041
\crossref{https://doi.org/10.1023/A:1023419230216}
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  • https://www.mathnet.ru/eng/znsl/v272/p273
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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