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

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.

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Bibliographic Details
Published in:Linear algebra and its applications 2015-09, Vol.481, p.249-262
Main Author: Calderón Martín, Antonio J.
Format: Article
Language:English
Subjects:
Jordan algebra
Lie algebra
Structure theory
Structured matrix
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Summary: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.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2015.05.009