|
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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm3882https://doi.org/10.4213/mzm3882 https://www.mathnet.ru/eng/mzm/v83/i6/p815
|
Statistics & downloads: |
Abstract page: | 354 | Full-text PDF : | 203 | References: | 35 | First page: | 3 |
|