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This article is cited in 7 scientific papers (total in 7 papers)
The Engel identity and its application
S. P. Mishchenko
Abstract:
In the case of characteristic zero, the Engel identity implies nilpotence in the variety generated by simple infinite-dimensional Lie algebras of Cartan type. An analogous result is also true for 2-metabelian Lie algebras (an algebra is called 2-metabelian if every 2-generator subalgebra is metabelian) over a field whose characteristic does not divide $5!\,$, which in this case permits one to prove solvability of the variety of 2-metabelian Lie algebras.
Bibliography: 10 titles.
Received: 25.05.1982
Citation:
S. P. Mishchenko, “The Engel identity and its application”, Mat. Sb. (N.S.), 121(163):3(7) (1983), 423–430; Math. USSR-Sb., 49:2 (1984), 419–426
Linking options:
https://www.mathnet.ru/eng/sm2210https://doi.org/10.1070/SM1984v049n02ABEH002718 https://www.mathnet.ru/eng/sm/v163/i3/p423
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Abstract page: | 374 | Russian version PDF: | 196 | English version PDF: | 15 | References: | 36 |
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