Outer and Eigen: Tangent Concepts
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909846550347776 |
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| author | Eelbode, David Roelfs, Martin De Keninck, Steven |
| author_facet | Eelbode, David Roelfs, Martin De Keninck, Steven |
| contents | In this paper we use the power of the outer exponential $Λ^B$ of a bivector $B$ to see the so-called invariant decomposition from a different perspective. This is deeply connected with the eigenvalues for the adjoint action of $B$, a fact that allows a version of the Cayley-Hamilton theorem which factorises the classical theorem (both the matrix version and the geometric algebra version). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Outer and Eigen: Tangent Concepts Eelbode, David Roelfs, Martin De Keninck, Steven Mathematical Physics 15A66, 11E88, 15A20 In this paper we use the power of the outer exponential $Λ^B$ of a bivector $B$ to see the so-called invariant decomposition from a different perspective. This is deeply connected with the eigenvalues for the adjoint action of $B$, a fact that allows a version of the Cayley-Hamilton theorem which factorises the classical theorem (both the matrix version and the geometric algebra version). |
| title | Outer and Eigen: Tangent Concepts |
| topic | Mathematical Physics 15A66, 11E88, 15A20 |
| url | https://arxiv.org/abs/2412.20566 |