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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 160, Pages 239–246 (Mi znsl5440)  

This article is cited in 4 scientific papers (total in 4 papers)

Bruhat decomposition of semisimple root subgroups in the special linear group

A. A. Semenov
Full-text PDF (444 kB) Citations (4)
Abstract: It is proved that the root semisimple subgroups in the special linear group over a field intersects at most four cosets in the Bruhat decomposition and, moreover, most elements of the given subgroup lie in the same coset, with the remaining elements lying in distinct cosets.
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: A. A. Semenov, “Bruhat decomposition of semisimple root subgroups in the special linear group”, Analytical theory of numbers and theory of functions. Part 8, Zap. Nauchn. Sem. LOMI, 160, "Nauka", Leningrad. Otdel., Leningrad, 1987, 239–246
Citation in format AMSBIB
\Bibitem{Sem87}
\by A.~A.~Semenov
\paper Bruhat decomposition of semisimple root subgroups in the special linear group
\inbook Analytical theory of numbers and theory of functions. Part~8
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 160
\pages 239--246
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=898285}
\zmath{https://zbmath.org/?q=an:0632.20028}
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  • https://www.mathnet.ru/eng/znsl5440
  • https://www.mathnet.ru/eng/znsl/v160/p239
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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