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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 114, Pages 120–130 (Mi znsl1770)  
This article is cited in 4 scientific papers (total in 4 papers)

Invariants of linear groups generated by matrices with two nonunit eigenvalues

N. L. Gordeev
Full-text PDF (1052 kB) Citations (4)
Abstract: A theorem on the structure of the algebra of invariants of the commutant of a group generated by pseudoreflections is improved. In particular, it is shown that this algebra is a complete intersection. A series of counterexamples to Stanley's conjecture is constructed in dimension 4. Results supporting this conjecture for primitive groups of large dimension are given.
English version:
Journal of Soviet Mathematics, 1984, Volume 27, Issue 4, Pages 2919–2927
DOI: https://doi.org/10.1007/BF01410744
Bibliographic databases:
UDC: 512.7
Language: Russian
Citation: N. L. Gordeev, “Invariants of linear groups generated by matrices with two nonunit eigenvalues”, Modules and algebraic groups, Zap. Nauchn. Sem. LOMI, 114, "Nauka", Leningrad. Otdel., Leningrad, 1982, 120–130; J. Soviet Math., 27:4 (1984), 2919–2927
Citation in format AMSBIB
\Bibitem{Gor82}
\by N.~L.~Gordeev
\paper Invariants of linear groups generated by matrices with two nonunit eigenvalues
\inbook Modules and algebraic groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 114
\pages 120--130
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=669563}
\zmath{https://zbmath.org/?q=an:0548.20030|0499.20030}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 27
\issue 4
\pages 2919--2927
\crossref{https://doi.org/10.1007/BF01410744}
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    • 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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