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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 319, Pages 216–243 (Mi znsl614)  
This article is cited in 20 scientific papers (total in 20 papers)

On overgroups of $\mathrm{E}(\mathrm{E}_6,R)$ and $\mathrm{E}(\mathrm{E}_7,R)$ in their minimal representations

A. Yu. Luzgarev

Saint-Petersburg State University
Full-text PDF (305 kB) Citations (20)
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Abstract: The article is dedicated to description of overgroups of elementary Chevalley groups of types $\mathrm{E}_6$ and $\mathrm{E}_7$ in their minimal irreducible representations. One of the first step towards such description, namely construction of the series of perfect intermediate groups, is made. Probably all perfect intermediate groups for groups of type $\mathrm{E}_6$ are described. The hypothesis concerning the structure of perfect overgroups of type $\mathrm{E}_7$ is made.
Received: 21.10.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 134, Issue 6, Pages 2558–2571
DOI: https://doi.org/10.1007/s10958-006-0127-5
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: A. Yu. Luzgarev, “On overgroups of $\mathrm{E}(\mathrm{E}_6,R)$ and $\mathrm{E}(\mathrm{E}_7,R)$ in their minimal representations”, Problems in the theory of representations of algebras and groups. Part 11, Zap. Nauchn. Sem. POMI, 319, POMI, St. Petersburg, 2004, 216–243; J. Math. Sci. (N. Y.), 134:6 (2006), 2558–2571
Citation in format AMSBIB
\Bibitem{Luz04}
\by A.~Yu.~Luzgarev
\paper On overgroups of $\mathrm{E}(\mathrm{E}_6,R)$ and $\mathrm{E}(\mathrm{E}_7,R)$ in their
minimal representations
\inbook Problems in the theory of representations of algebras and groups. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 319
\pages 216--243
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl614}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117858}
\zmath{https://zbmath.org/?q=an:1104.20050}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 134
\issue 6
\pages 2558--2571
\crossref{https://doi.org/10.1007/s10958-006-0127-5}
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  • https://www.mathnet.ru/eng/znsl/v319/p216
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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