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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 272, Pages 242–258 (Mi znsl1374)  
This article is cited in 2 scientific papers (total in 2 papers)

Subgroups of the general linear group over a local field

K. Yu. Lavrov

Saint-Petersburg State University
Full-text PDF (235 kB) Citations (2)
Abstract: We describe subgroups of the general linear group $\mathrm{GL}(n,R)$ over the field of fractions $K$ of a local principal ideal domain $R$, containing the group $\mathrm{SD}(n,R)$ of diagonal matrices with entries from $R$ and determinant 1. Similar results for overgroups of $D(n,R)$ were obtained earlier by I. Hamdan and N. Vavilov. Results of the present paper generalize also some further known results, notably decription of parahoric subgroups by N. Iwahori and H. Matsumoto.
Received: 04.09.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 116, Issue 1, Pages 3018–3026
DOI: https://doi.org/10.1023/A:1023415129307
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: K. Yu. Lavrov, “Subgroups of the general linear group over a local field”, Problems in the theory of representations of algebras and groups. Part 7, Zap. Nauchn. Sem. POMI, 272, POMI, St. Petersburg, 2000, 242–258; J. Math. Sci. (N. Y.), 116:1 (2003), 3018–3026
Citation in format AMSBIB
\Bibitem{Lav00}
\by K.~Yu.~Lavrov
\paper Subgroups of the general linear group over a local field
\inbook Problems in the theory of representations of algebras and groups. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 272
\pages 242--258
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1374}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1811805}
\zmath{https://zbmath.org/?q=an:1069.20037}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 116
\issue 1
\pages 3018--3026
\crossref{https://doi.org/10.1023/A:1023415129307}
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  • https://www.mathnet.ru/eng/znsl/v272/p242
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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