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Izvestiya: Mathematics, 2007, Volume 71, Issue 4, Pages 657–672
DOI: https://doi.org/10.1070/IM2007v071n04ABEH002371 (Mi im689) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Growth of some varieties of Lie superalgebras

M. V. Zaiceva, S. P. Mishchenkob

a M. V. Lomonosov Moscow State University
b Ulyanovsk State University
English version PDF (272 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM2007v071n04ABEH002371
Abstract: We study numerical characteristics of varieties of Lie superalgebras and, in particular, the growth of codimensions. An example of an insoluble variety of almost polynomial growth is constructed. We prove that the exponent of this variety is equal to three and calculate the growth exponents for two earlier known soluble varieties.
Received: 14.11.2005
Bibliographic databases:
UDC: 512.8
MSC: 08B15, 08B99, 17A30, 17A99, 17B01, 17B20, 17B30, 17B40, 17B45, 17B65, 17B70, 17B99, 17C05, 16R10, 16S50, 20C30, 30D20, 16Rxx
Language: English
Original paper language: Russian
Citation: M. V. Zaicev, S. P. Mishchenko, “Growth of some varieties of Lie superalgebras”, Izv. Math., 71:4 (2007), 657–672
Citation in format AMSBIB
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\by M.~V.~Zaicev, S.~P.~Mishchenko
\paper Growth of some varieties of Lie superalgebras
\jour Izv. Math.
\yr 2007
\vol 71
\issue 4
\pages 657--672
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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