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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 289, Pages 134–148 (Mi znsl1600)  
This article is cited in 1 scientific paper (total in 1 paper)

On same-invariant linear groups

N. L. Gordeev, N. F. Kushpel'

Russian State Pedagogical University of Herzen, Department of Mathematics
Full-text PDF (207 kB) Citations (1)
Abstract: A linear group $G\le GL(V)$ is called same-invariant if the subspaces of linear invariants $V^g$ are the same for all $g\in G, g\ne1$. Below we consider properities of such a group $G$ under the assumption that $G$ contains unipotent elements.
Received: 03.06.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 124, Issue 1, Pages 4754–4762
DOI: https://doi.org/10.1023/B:JOTH.0000042311.61327.36
Bibliographic databases:
UDC: 512.6+512.7+512.8
Language: English
Citation: N. L. Gordeev, N. F. Kushpel', “On same-invariant linear groups”, Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, POMI, St. Petersburg, 2002, 134–148; J. Math. Sci. (N. Y.), 124:1 (2004), 4754–4762
Citation in format AMSBIB
\Bibitem{GorKus02}
\by N.~L.~Gordeev, N.~F.~Kushpel'
\paper On same-invariant linear groups
\inbook Problems in the theory of representations of algebras and groups. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 289
\pages 134--148
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1600}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949738}
\zmath{https://zbmath.org/?q=an:1070.20055}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 124
\issue 1
\pages 4754--4762
\crossref{https://doi.org/10.1023/B:JOTH.0000042311.61327.36}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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