The Regev conjecture and cocharacters for identities of associative algebras of PI-exponent 1 and 2

被引：0
作者：
A. S. Gordienko
机构：
[1] Moscow State University,
来源：
Mathematical Notes | 2008年 / 83卷
关键词：
associative algebra; free associative algebra; PI-exponent; algebra of PI-exponent 2; irreducible cocharacter; Young tableau; algebra of polynomial growth;
D O I：
暂无
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学科分类号：
摘要：
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.
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页码：744 / 752
页数：8
相关论文
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  • [7] Regev A.(undefined)undefined undefined undefined undefined-undefined
  • [8] Gordienko A. S.(undefined)undefined undefined undefined undefined-undefined
  • [9] Kemer A. R.(undefined)undefined undefined undefined undefined-undefined
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