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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 305, Pages 121–135 (Mi znsl865)  
This article is cited in 7 scientific papers (total in 7 papers)

Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a skew field

E. V. Dybkova

Saint-Petersburg State University
Full-text PDF (195 kB) Citations (7)
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Abstract: In the hyperbolic unitary group over a skew field we study the lattice of subgroups containing all diagonal unitary matrices. If a form parameter is minimal, this lattice has the standard description in terms of net subgroups. In our previous paper this fact was proved for the groups of degree 4.
Received: 20.10.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 130, Issue 3, Pages 4712–4719
DOI: https://doi.org/10.1007/s10958-005-0365-y
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: E. V. Dybkova, “Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a skew field”, Problems in the theory of representations of algebras and groups. Part 10, Zap. Nauchn. Sem. POMI, 305, POMI, St. Petersburg, 2003, 121–135; J. Math. Sci. (N. Y.), 130:3 (2005), 4712–4719
Citation in format AMSBIB
\Bibitem{Dyb03}
\by E.~V.~Dybkova
\paper Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a~skew field
\inbook Problems in the theory of representations of algebras and groups. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 305
\pages 121--135
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl865}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2033617}
\zmath{https://zbmath.org/?q=an:1144.20315}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 130
\issue 3
\pages 4712--4719
\crossref{https://doi.org/10.1007/s10958-005-0365-y}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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