Representations of rank 3 algebras

Benkart, G; Labra, A

Abstract

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. Copyright © Taylor & Francis Group, LLC.

Más información

Título según WOS: Representations of rank 3 algebras
Título según SCOPUS: Representations of rank 3 algebras
Título de la Revista: COMMUNICATIONS IN ALGEBRA
Volumen: 34
Número: 8
Editorial: TAYLOR & FRANCIS INC
Fecha de publicación: 2006
Página de inicio: 2867
Página final: 2877
Idioma: English
URL: http://www.tandfonline.com/doi/abs/10.1080/00927870600637157
DOI:

10.1080/00927870600637157

Notas: ISI, SCOPUS