The exceptional Jordan eigenvalue problem (Q1972089)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exceptional Jordan eigenvalue problem |
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The exceptional Jordan eigenvalue problem (English)
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23 March 2000
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The eigenvalue problem for \(3\times 3\) octonion Hermitian matrices of the exceptional Jordan algebra is studied. Eigenmatrices are constructed and using the Jordan formulation of quantum mechanics it is speculated where this mathematics could be useful in physics. The appendix shows how \(F_4\) transformations can be used to diagonalize \(3\times 3\) octonionic matrices of the exceptional Jordan algebra.
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octonions
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exceptional Jordan algebra
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Albert algebra
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quaternion triples
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eigenvalue problem
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Freudenthal triple product
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Moufang plane
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\(F_4\)
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exceptional Lie algebra
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