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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 281, Pages 253–273 (Mi znsl1500)  
This article is cited in 10 scientific papers (total in 10 papers)

Pairs of short root subgroups in the Chevalley group of type $G_2$

V. V. Nesterov

Baltic State Technical University
Full-text PDF (250 kB) Citations (10)
Abstract: The present paper is devoted to the pairs of unipotent short root subgroups in the Chevalley group of type $G_2$ over a field of characteristic distinct from 2. Namely, we describe the subgroups generated by a pair of short root subgroups and classify the orbits of the Chevalley group acting by the simultaneous conjugation on such pairs. Most of the calculations are valid for fields of characteristic 2.
Received: 10.04.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 120, Issue 4, Pages 1630–1641
DOI: https://doi.org/10.1023/B:JOTH.0000017893.66315.ba
Bibliographic databases:
UDC: 512.542.6
Language: Russian
Citation: V. V. Nesterov, “Pairs of short root subgroups in the Chevalley group of type $G_2$”, Problems in the theory of representations of algebras and groups. Part 8, Zap. Nauchn. Sem. POMI, 281, POMI, St. Petersburg, 2001, 253–273; J. Math. Sci. (N. Y.), 120:4 (2004), 1630–1641
Citation in format AMSBIB
\Bibitem{Nes01}
\by V.~V.~Nesterov
\paper Pairs of short root subgroups in the Chevalley group of type~$G_2$
\inbook Problems in the theory of representations of algebras and groups. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 281
\pages 253--273
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1500}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1875729}
\zmath{https://zbmath.org/?q=an:1078.20048}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 120
\issue 4
\pages 1630--1641
\crossref{https://doi.org/10.1023/B:JOTH.0000017893.66315.ba}
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  • https://www.mathnet.ru/eng/znsl/v281/p253
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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