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Matematicheskie Zametki, 2010, Volume 87, Issue 6, Pages 877–884
DOI: https://doi.org/10.4213/mzm8733 (Mi mzm8733) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth

S. P. Mishchenko, A. V. Popov

Ulyanovsk State University
Full-text PDF (456 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8733
Abstract: We prove that, in the case of ground field of characteristic zero, the variety cited in the title has almost polynomial growth. We construct an algebra generating this variety and completely describe the structure of the multilinear part of the variety as a module of the symmetric group.
Keywords: variety of algebras, linear algebra over a field, Jordan algebra, growth of an algebra, symmetric group, polynomial identity, irreducible representation, Young diagram.
Received: 29.06.2009
Revised: 09.10.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 6, Pages 854–859
DOI: https://doi.org/10.1134/S0001434610050251
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: S. P. Mishchenko, A. V. Popov, “The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth”, Mat. Zametki, 87:6 (2010), 877–884; Math. Notes, 87:6 (2010), 854–859
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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