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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 2, Pages 391–400
DOI: https://doi.org/10.1070/IM1986v027n02ABEH001182 (Mi im1378) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Generalized Casimir elements

A. S. Dzhumadil'daev
English version PDF (532 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1986v027n02ABEH001182
Abstract: A method is given for constructing a central element in the universal enveloping algebra $\mathfrak A(L)$ of a Lie algebra $L$, generalizing the method for constructing a Casimir element and not requiring the existence of a nondegenerate invariant form on $L$. Generalized Casimir elements are constructed for certain Lie algebras of Cartan types over a field of positive characteristic.
Bibliography: 15 titles.
Received: 19.09.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 5, Pages 1107–1117
Bibliographic databases:
UDC: 512.554.342
MSC: 17B35
Language: English
Original paper language: Russian
Citation: A. S. Dzhumadil'daev, “Generalized Casimir elements”, Izv. Akad. Nauk SSSR Ser. Mat., 49:5 (1985), 1107–1117; Math. USSR-Izv., 27:2 (1986), 391–400
Citation in format AMSBIB
\Bibitem{Dzh85}
\by A.~S.~Dzhumadil'daev
\paper Generalized Casimir elements
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 5
\pages 1107--1117
\mathnet{http://mi.mathnet.ru/im1378}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=810531}
\zmath{https://zbmath.org/?q=an:0613.17007|0602.17007}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 2
\pages 391--400
\crossref{https://doi.org/10.1070/IM1986v027n02ABEH001182}
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    • 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:433
    Russian version PDF:105
    English version PDF:16
    References:55
    First page:3
     
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