Square roots of complexified quaternions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918389067284480 |
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| author | Dargys, Adolfas Acus, Arturas |
| author_facet | Dargys, Adolfas Acus, Arturas |
| contents | Square roots of complexified (complex) quaternions, namely, the Hamilton quaternion, coquaternion, nectorine, and conectorine are investigated. The isomorphisms between the complex quaternions and 3-dimensional multivectors of Clifford algebras is employed for this purpose. Root examples for all named quaternions are presented from which follows that the complex quaternionic roots may assume discrete or continuous form, or there may be no roots at all. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08391 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Square roots of complexified quaternions Dargys, Adolfas Acus, Arturas Mathematical Physics 15A18, 15A66 I.1.4 Square roots of complexified (complex) quaternions, namely, the Hamilton quaternion, coquaternion, nectorine, and conectorine are investigated. The isomorphisms between the complex quaternions and 3-dimensional multivectors of Clifford algebras is employed for this purpose. Root examples for all named quaternions are presented from which follows that the complex quaternionic roots may assume discrete or continuous form, or there may be no roots at all. |
| title | Square roots of complexified quaternions |
| topic | Mathematical Physics 15A18, 15A66 I.1.4 |
| url | https://arxiv.org/abs/2601.08391 |