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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 375, Pages 48–60 (Mi znsl3607)  
This article is cited in 7 scientific papers (total in 7 papers)

Dennis–Vaserstein type decompositions

N. A. Vavilov, S. S. Sinchuk

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (604 kB) Citations (7)
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Abstract: We prove a generalisation of Dennis–Vaserstein decomposition for an arbitrary pair of maximal parabolic subgroups $P_r$ and $P_s$ in the general linear group $\mathrm{GL}(n,R)$, provided that $r-s\geq\mathrm{sr}(R)$. The usual Dennis–Vaserstein decomposition is the special case where $r=n-1$, $s=1$. Bibl. – 23 titles.
Key words and phrases: general linear group, lementary subgroup, parabolic subgroups, stable rank, Dennis–Vaserstein decomposition.
Received: 13.03.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 171, Issue 3, Pages 331–337
DOI: https://doi.org/10.1007/s10958-010-0138-0
Bibliographic databases:
Document Type: Article
UDC: 513.6
Language: Russian
Citation: N. A. Vavilov, S. S. Sinchuk, “Dennis–Vaserstein type decompositions”, Problems in the theory of representations of algebras and groups. Part 19, Zap. Nauchn. Sem. POMI, 375, POMI, St. Petersburg, 2010, 48–60; J. Math. Sci. (N. Y.), 171:3 (2010), 331–337
Citation in format AMSBIB
\Bibitem{VavSin10}
\by N.~A.~Vavilov, S.~S.~Sinchuk
\paper Dennis--Vaserstein type decompositions
\inbook Problems in the theory of representations of algebras and groups. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 375
\pages 48--60
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3607}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 3
\pages 331--337
\crossref{https://doi.org/10.1007/s10958-010-0138-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649444590}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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