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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 2, Pages 125–129
DOI: https://doi.org/10.18500/1816-9791-2014-14-2-125-129 (Mi isu494) 		 
Mathematics

On subvariety of variety generated by a simple infinite Lie algebra of Cartan type general series $W_2$

O. A. Bogdanchuk

Ulyanovsk State University, 42, Leo Tolstoy str., 432970, Ulyanovsk, Russia
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DOI: https://doi.org/10.18500/1816-9791-2014-14-2-125-129
Abstract: We consider numerical characteristics of Lie algebras variety over a field of characteristic zero, basically, the exponent of variety. Here, was constructed the infinite series of varieties of Lie algebras with different fractional exponents, which belong to variety generated by a simple infinite Lie algebra of Cartan type general series $W_2$.
Key words: variety of Lie algebras, identity, exponent of variety.
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: O. A. Bogdanchuk, “On subvariety of variety generated by a simple infinite Lie algebra of Cartan type general series $W_2$”, Izv. Saratov Univ. Math. Mech. Inform., 14:2 (2014), 125–129
Citation in format AMSBIB
\Bibitem{Bog14}
\by O.~A.~Bogdanchuk
\paper On subvariety of variety generated by a~simple infinite Lie algebra of Cartan type general series~$W_2$
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 2
\pages 125--129
\mathnet{http://mi.mathnet.ru/isu494}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-2-125-129}
\elib{https://elibrary.ru/item.asp?id=21719210}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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