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Mathematics of the USSR-Izvestiya, 1985, Volume 24, Issue 2, Pages 383–390
DOI: https://doi.org/10.1070/IM1985v024n02ABEH001241 (Mi im1451) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Regular elements in spaces of linear representations of reductive algebraic groups

D. I. Panyushev
English version PDF (447 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/IM1985v024n02ABEH001241
Abstract: A new proof is offered of a differential criterion of regularity for the adjoint representation of a semisimple connected group that does not use the existence of a section in the set of regular elements. Using the ideas of this proof, similar results are obtained for certain linear actions with a Cartan subspace, and, conversely, the existence of a section in the set of regular elements is proved.
Bibliography: 7 titles.
Received: 26.10.1982
Bibliographic databases:
UDC: 512
MSC: Primary 14L30, 20G05, 20G20; Secondary 17B10, 17B20
Language: English
Original paper language: Russian
Citation: D. I. Panyushev, “Regular elements in spaces of linear representations of reductive algebraic groups”, Math. USSR-Izv., 24:2 (1985), 383–390
Citation in format AMSBIB
\Bibitem{Pan84}
\by D.~I.~Panyushev
\paper Regular elements in spaces of linear representations of reductive algebraic groups
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 2
\pages 383--390
\mathnet{http://mi.mathnet.ru//eng/im1451}
\crossref{https://doi.org/10.1070/IM1985v024n02ABEH001241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=740797}
\zmath{https://zbmath.org/?q=an:0557.20026}
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    Cycle of papers
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:398
    Russian version PDF:102
    English version PDF:16
    References:66
    First page:1
     
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