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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
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
Citation:
M. I. Kuznetsov, “Maximal tori of a general Lie algebra of Cartan type”, Sb. Math., 188:9 (1997), 1317–1342
Linking options:
https://www.mathnet.ru/eng/sm257https://doi.org/10.1070/sm1997v188n09ABEH000257 https://www.mathnet.ru/eng/sm/v188/i9/p55
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Abstract page: | 469 | Russian version PDF: | 202 | English version PDF: | 20 | References: | 60 | First page: | 2 |
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