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Matematicheskie Zametki, 2006, Volume 79, Issue 4, Pages 553–559
DOI: https://doi.org/10.4213/mzm2724 (Mi mzm2724) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Colength of varieties of linear algebras

M. V. Zaiceva, S. P. Mishchenkob

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Ulyanovsk State University
Full-text PDF (201 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm2724
Abstract: In this paper, an example of a variety of nonassociative algebras is constructed in which the system of Capelli identities of small rank is satisfied, whereas the colength function has exponential growth. As is well known, in the associative case and in the Lie case, the validity of Capelli identities implies the polynomial growth of the colength.
Received: 16.11.2004
Revised: 03.10.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 4, Pages 511–517
DOI: https://doi.org/10.1007/s11006-006-0056-0
Bibliographic databases:
UDC: 512.8
Language: Russian
Citation: M. V. Zaicev, S. P. Mishchenko, “Colength of varieties of linear algebras”, Mat. Zametki, 79:4 (2006), 553–559; Math. Notes, 79:4 (2006), 511–517
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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