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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2007, Volume 71, Issue 4, Pages 3–18
DOI: https://doi.org/10.4213/im689
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. RAN. Ser. Mat., 71:4 (2007), 3–18; Izv. Math., 71:4 (2007), 657–672
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:433
    Russian version PDF:174
    English version PDF:7
    References:83
    First page:10
     
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