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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 365, Pages 151–171 (Mi znsl3470)  
Abnormal subgroups of classical groups corresponding to closed sets of roots

N. V. Gravin, D. Yu. Shiryaev

Saint-Petersburg State University
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Abstract: In this paper we classify abnornal subgroups in classical Chevalley groups, containing split maximal torus. Classification problem is reduced to a combinatorial problem in terms of root systems, which is solved with use of weight graphs. Bibl. – 5 titles.
Received: 01.12.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 4, Pages 542–552
DOI: https://doi.org/10.1007/s10958-009-9589-6
Bibliographic databases:
UDC: 513.6
Language: Russian
Citation: N. V. Gravin, D. Yu. Shiryaev, “Abnormal subgroups of classical groups corresponding to closed sets of roots”, Problems in the theory of representations of algebras and groups. Part 18, Zap. Nauchn. Sem. POMI, 365, POMI, St. Petersburg, 2009, 151–171; J. Math. Sci. (N. Y.), 161:4 (2009), 542–552
Citation in format AMSBIB
\Bibitem{GraShi09}
\by N.~V.~Gravin, D.~Yu.~Shiryaev
\paper Abnormal subgroups of classical groups corresponding to closed sets of roots
\inbook Problems in the theory of representations of algebras and groups. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 365
\pages 151--171
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3470}
\zmath{https://zbmath.org/?q=an:05660149}
\elib{https://elibrary.ru/item.asp?id=15302413}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 4
\pages 542--552
\crossref{https://doi.org/10.1007/s10958-009-9589-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70349583411}
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