ALGEBRAS SATISFYING A CAPELLI IDENTITY

被引：32

作者：

REGEV, A ^{[1
]}

机构：

[1] UNIV CALIF SAN DIEGO,LA JOLLA,CA 92093

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 33卷 / 02期

关键词：

D O I：

10.1007/BF02760555

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The sequence of cocharacters (c.c.s.) of a P.I. algebra is studied. We prove that an algebra satisfies a Capelli identity if, and only if, all the Young diagrams associated with its cocharacters are of a bounded height. This result is then applied to study the identities of certain P.I. algebras, including F k . © 1979 Hebrew University.

引用

页码：149 / 154

页数：6