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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 1, Pages 85–100
DOI: https://doi.org/10.1070/IM1989v033n01ABEH000815 (Mi im1203) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras

D. P. Zhelobenko
English version PDF (926 kB) Citations (24)
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DOI: https://doi.org/10.1070/IM1989v033n01ABEH000815
Abstract: A description is given of “extremal projectors” in the associative envelopes of reductive (finite-dimensional) Lie algebras. In terms of extremal projectors, a description is then obtained of (generalized) Mickelsson algebras. Finally, a characterization is given for these algebras in terms of generators and relations.
Bibliography: 14 titles.
Received: 11.12.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 4, Pages 758–773
Bibliographic databases:
UDC: 519.46
MSC: Primary 17B20, 17B35; Secondary 81C40
Language: English
Original paper language: Russian
Citation: D. P. Zhelobenko, “Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 52:4 (1988), 758–773; Math. USSR-Izv., 33:1 (1989), 85–100
Citation in format AMSBIB
\Bibitem{Zhe88}
\by D.~P.~Zhelobenko
\paper Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 4
\pages 758--773
\mathnet{http://mi.mathnet.ru/im1203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=966983}
\zmath{https://zbmath.org/?q=an:0671.17004|0659.17010}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 1
\pages 85--100
\crossref{https://doi.org/10.1070/IM1989v033n01ABEH000815}
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:900
    Russian version PDF:199
    English version PDF:20
    References:41
    First page:1
     
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