Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities

被引：34

作者：

Berele, Allan ^{[1
]}

Regev, Amitai ^{[2
]}

机构：

[1] Depaul Univ, Dept Math, Chicago, IL 60614 USA

[2] Weizmann Inst Sci, Dept Theoret Math, IL-76100 Rehovot, Israel

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 10期

关键词：

polynomial identities; cocharacter sequence;

D O I：

10.1090/S0002-9947-08-04500-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a p. i. algebra with 1 in characteristic zero, satisfying a Capelli identity. Then the cocharacter sequence c(n)(A) is asymptotic to a function of the form an(g)l(n), where l is an element of N and g is an element of Z.

引用

页码：5155 / 5172

页数：18

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