Explicit Witt basis over the tensor product of Clifford algebras and octonions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914741169946624 |
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| author | Li, Yong Ren, Guangbin Wang, Haiyan |
| author_facet | Li, Yong Ren, Guangbin Wang, Haiyan |
| contents | In this article, we investigate how the Witt basis serves as a link between real and complex variables in higher-dimensional spaces. Our focus is on the detailed construction of the Witt basis within the tensor product space combining Clifford algebra and multiple octonionic spaces. This construction effectively introduces complex coordinates. The technique is based on a specific subgroup of octonionic automorphisms, distinguished by binary codes. This method allows us to perform a Hermitian analysis of the complex structures within the tensor product space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit Witt basis over the tensor product of Clifford algebras and octonions Li, Yong Ren, Guangbin Wang, Haiyan Complex Variables Primary 30G35, Secondary 17A35 In this article, we investigate how the Witt basis serves as a link between real and complex variables in higher-dimensional spaces. Our focus is on the detailed construction of the Witt basis within the tensor product space combining Clifford algebra and multiple octonionic spaces. This construction effectively introduces complex coordinates. The technique is based on a specific subgroup of octonionic automorphisms, distinguished by binary codes. This method allows us to perform a Hermitian analysis of the complex structures within the tensor product space. |
| title | Explicit Witt basis over the tensor product of Clifford algebras and octonions |
| topic | Complex Variables Primary 30G35, Secondary 17A35 |
| url | https://arxiv.org/abs/2404.03487 |