Maximal Jordan algebras of matrices with bounded number of eigenvalues
type: Item
instance of: scholarly article
title: Maximal Jordan algebras of matrices with bounded number of eigenvalues
zbMATH Open document ID: 1017.17030
DOI: 10.1007/BF02785418
published in: Israel Journal of Mathematics
publication date: 2002-12-10T00:00:00Z
review text: This paper is concerned with maximal irreducible Jordan algebras of matrices having the property that all elements have at most \(k\) distinct eigenvalues and some member has exactly \(k\) distinct eigenvalues and studies automorphisms of Jordan algebras. These are taken over an algebraically closed field of characteristic other than 2. For \(k>2\) the only one is the full algebra of \(k\times k\) matrices. For \(k=2\) there is an infinite family of these Jordan algebras which is determined.
Mathematics Subject Classification ID: 17C50
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 47L70
zbMATH DE Number: 1819980
zbMATH Keywords: Jordan algebra
zbMATH Keywords: automorphism of Jordan algebra
author: L. Grunenfelder
author: T. Košir
author: M. Omladič
author: H. Radjavi
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1819980