Right eigenvalues for quaternionic matrices: A topological approach (Q1301288)
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scientific article; zbMATH DE number 1331740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Right eigenvalues for quaternionic matrices: A topological approach |
scientific article; zbMATH DE number 1331740 |
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Right eigenvalues for quaternionic matrices: A topological approach (English)
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14 February 2000
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The author applies the Lefschetz fixed point theorem to show that every square matrix over the quaternions has right eigenvalues. The paper classifies them and discusses some of their properties such as an analogue of Jordan canonical form and diagonalization of elements of the compact symplectic group \(Sp(n)\).
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quaternion matrix
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Lefschetz fixed point theorem
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right eigenvalues
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Jordan canonical form
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compact symplectic group
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