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Sbornik: Mathematics, 1997, Volume 188, Issue 9, Pages 1317–1342
DOI: https://doi.org/10.1070/sm1997v188n09ABEH000257
(Mi sm257)
 

This article is cited in 3 scientific papers (total in 3 papers)

Maximal tori of a general Lie algebra of Cartan type

M. I. Kuznetsov

N. I. Lobachevski State University of Nizhni Novgorod
References:
Abstract: A description is given of all maximal tori in the $p$-closure of a general Lie algebra $W(\mathscr F)$ of Cartan type over an algebraically closed field of characteristics of tori are found (dimension, algebra of invariants, weight functions root subspaces, the centralizer of a maximal torus) in terms of a defining system of functions of a maximal torus, and criteria are obtained for standartness and optimality of a maximal torus. A connection is established between the maximal tori in the $p$-closure and the Cartan subalgebras of $W(\mathscr F)$.
Received: 14.01.1997
Bibliographic databases:
UDC: 512.554.31
MSC: Primary 17B50; Secondary 17B10, 17B40, 17B56, 17B20, 17B05
Language: English
Original paper language: Russian
Citation: M. I. Kuznetsov, “Maximal tori of a general Lie algebra of Cartan type”, Sb. Math., 188:9 (1997), 1317–1342
Citation in format AMSBIB
\Bibitem{Kuz97}
\by M.~I.~Kuznetsov
\paper Maximal tori of a~general Lie algebra of Cartan type
\jour Sb. Math.
\yr 1997
\vol 188
\issue 9
\pages 1317--1342
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0031318492}
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  • https://doi.org/10.1070/sm1997v188n09ABEH000257
  • https://www.mathnet.ru/eng/sm/v188/i9/p55
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:469
    Russian version PDF:202
    English version PDF:20
    References:60
    First page:2
     
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