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Matematicheskie Zametki, 2010, Volume 88, Issue 5, Pages 689–707
DOI: https://doi.org/10.4213/mzm4408 (Mi mzm4408) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Stationary Subalgebras in General Position for Locally Strongly Effective Actions

D. G. Il'inskii

M. V. Lomonosov Moscow State University
Full-text PDF (601 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm4408
Abstract: In the present paper, a classification of all locally strongly effective actions of a semisimple algebraic group on a finite-dimensional complex vector space with nontrivial stationary subalgebra in general position is carried out.
Keywords: semisimple algebraic group, Lie group, Lie algebra, locally strongly effective action, stationary subalgebra, reductive complex algebraic group, irreducible representation.
Received: 19.12.2007
Revised: 04.06.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 5, Pages 661–677
DOI: https://doi.org/10.1134/S0001434610110064
Bibliographic databases:
Document Type: Article
UDC: 512.743.7+512.815.1+512.813.3
Language: Russian
Citation: D. G. Il'inskii, “Stationary Subalgebras in General Position for Locally Strongly Effective Actions”, Mat. Zametki, 88:5 (2010), 689–707; Math. Notes, 88:5 (2010), 661–677
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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