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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 289, Pages 154–206 (Mi znsl1602)  
This article is cited in 8 scientific papers (total in 8 papers)

On overdiagonal subgroups of the hyperbolic unitary group for a skew field

E. V. Dybkova

Saint-Petersburg State University
Full-text PDF (433 kB) Citations (8)
Abstract: In the hyperbolic unitary group over a skew field we study the lattice of subgroups containing all diagonal unitary matrices. We have proved for the group of degree 4 that if a form parameter is minimal, this lattice has the standard description in terms of form net subgroups
Received: 01.04.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 124, Issue 1, Pages 4766–4791
DOI: https://doi.org/10.1023/B:JOTH.0000042313.09130.b6
Bibliographic databases:
UDC: 512.5+512.6+512.7+512.8
Language: Russian
Citation: E. V. Dybkova, “On overdiagonal subgroups of the hyperbolic unitary group for a skew field”, Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, POMI, St. Petersburg, 2002, 154–206; J. Math. Sci. (N. Y.), 124:1 (2004), 4766–4791
Citation in format AMSBIB
\Bibitem{Dyb02}
\by E.~V.~Dybkova
\paper On overdiagonal subgroups of the hyperbolic unitary group for a skew field
\inbook Problems in the theory of representations of algebras and groups. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 289
\pages 154--206
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1602}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949740}
\zmath{https://zbmath.org/?q=an:1070.20059}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 124
\issue 1
\pages 4766--4791
\crossref{https://doi.org/10.1023/B:JOTH.0000042313.09130.b6}
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  • https://www.mathnet.ru/eng/znsl/v289/p154
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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