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.
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页码：5155 / 5172
页数：18
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