For citation:
Bogdanchuk O. A. On Subvariety of Variety Generated by a Simple Infinite Lie Algebra of Cartan Type General Series W2. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 2, pp. 125-129. DOI: 10.18500/1816-9791-2014-14-2-125-129, EDN: SHHICH
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
09.06.2014
Full text:
(downloads: 217)
Language:
Russian
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UDC:
512.5
EDN:
SHHICH
On Subvariety of Variety Generated by a Simple Infinite Lie Algebra of Cartan Type General Series W2
Автор:
Импортов Импорт Импортович
Autors:
Bogdanchuk Ol'ga Alexsandrovna, Ulyanovsk State University
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 W2.
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References:
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- Malyusheva O. A., Mishchenko S. P., Verevkin A. B. Series of varieties of Lie algebras of different fractional exponents. Compt. rend. Acad. Bulg. Sci., 2013, vol. 66, no. 3, pp. 321–330.
Received:
19.11.2014
Accepted:
10.04.2014
Published:
30.05.2014
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