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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm8733https://doi.org/10.4213/mzm8733 https://www.mathnet.ru/eng/mzm/v87/i6/p877
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Abstract page: | 584 | Full-text PDF : | 242 | References: | 52 | First page: | 15 |
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