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Matematicheskie Zametki, 2008, Volume 83, Issue 6, Pages 815–824
DOI: https://doi.org/10.4213/mzm3882 (Mi mzm3882) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Regev Conjecture and Cocharacters for Identities of Associative Algebras of PI-exponent 1 and 2

A. S. Gordienko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (466 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm3882
Abstract: A result confirming the Regev conjecture for the codimension of associative algebras with unit which are of PI-exponent 2 is obtained. It is proved that the sequence of multiplicities of irreducible summands in proper cocharacters of algebras of PI-exponent 2 is of period 2, beginning with some index, whereas this sequence is constant for the ordinary cocharacters of the algebras of PI-exponent 1.
Keywords: associative algebra, free associative algebra, PI-exponent, algebra of PI-exponent 2, irreducible cocharacter, Young tableau, algebra of polynomial growth.
Received: 11.04.2007
Revised: 25.09.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 6, Pages 744–752
DOI: https://doi.org/10.1134/S0001434608050209
Bibliographic databases:
UDC: 512.552.4
Language: Russian
Citation: A. S. Gordienko, “The Regev Conjecture and Cocharacters for Identities of Associative Algebras of PI-exponent 1 and 2”, Mat. Zametki, 83:6 (2008), 815–824; Math. Notes, 83:6 (2008), 744–752
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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