On the invariant polynomials of Jordan products

Let F be an algebraically closed field. This paper describes the possible numbers of nonconstant invariant polynomials of the Jordan product XA+AX, when A is fixed and X varies.

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Bibliographic Details
Published inLinear algebra and its applications Vol. 360; pp. 173 - 189
Main Authors Andrade Martins, Enide, Silva, Fernando C.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 01.02.2003
Elsevier Science
Subjects
Applied sciences
Artificial intelligence
Computer science; control theory; systems
Connectionism. Neural networks
Exact sciences and technology
Polynomial
Invariant
Jordan algebra
Linear algebra
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Summary:Let F be an algebraically closed field. This paper describes the possible numbers of nonconstant invariant polynomials of the Jordan product XA+AX, when A is fixed and X varies.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(02)00448-2