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A second Wedderburn-type theorem for some classes of linearly structured matrices

Article ID Journal Published Year Pages File Type
6416241 Linear Algebra and its Applications 2015 14 Pages PDF
Abstract

We consider some classes S of structured matrices endowed each one with a structure of Lie or Jordan algebra. We show that any S decomposes as the direct sum S=⨁sSs of well-described minimal ideals, being each one a class of structured matrices of the same type as S.

Keywords
15A1215A3016S50Jordan algebraLie algebraStructured matrixStructure theory
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
A second Wedderburn-type theorem for some classes of linearly structured matrices
Authors
Antonio J. Calderón Martín,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A12
15A30
16S50
Jordan algebra
Lie algebra
Structured matrix
Structure theory
Algebra and Number Theory
Analysis
Applied Mathematics
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Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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Journal of Symbolic Computation
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