Representations of rank 3 algebras

被引：1

作者：

Benkart, Georgia ^{[1
]}

Labra, Alicia

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Univ Chile, Fac Sci, Dept Math, Santiago, Chile

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 08期

关键词：

D O I：

10.1080/00927870600637157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The class of rank 3 algebras includes the Jordan algebra of a symmetric bilinear form, the trace zero elements of a Jordan algebra of degree 3, pseudo-composition algebras, certain algebras that arise in the study of Riccati differential equations, as well as many other algebras. We investigate the representations of rank 3 algebras and show under some conditions on the eigenspaces of the left multiplication operator determined by an idempotent element that the finite-dimensional irreducible representations are all one-dimensional.

引用

页码：2867 / 2877

页数：11

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