A Note on Centralizers and Twisted Centralizers in Clifford Algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915074588803072 |
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| author | Filimoshina, E. R. Shirokov, D. S. |
| author_facet | Filimoshina, E. R. Shirokov, D. S. |
| contents | This paper investigates centralizers and twisted centralizers in degenerate and non-degenerate Clifford (geometric) algebras. We provide an explicit form of the centralizers and twisted centralizers of the subspaces of fixed grades, subspaces determined by the grade involution and the reversion, and their direct sums. The results can be useful for applications of Clifford algebras in computer science, physics, and engineering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15169 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Note on Centralizers and Twisted Centralizers in Clifford Algebras Filimoshina, E. R. Shirokov, D. S. Rings and Algebras Mathematical Physics 15A66, 11E88 This paper investigates centralizers and twisted centralizers in degenerate and non-degenerate Clifford (geometric) algebras. We provide an explicit form of the centralizers and twisted centralizers of the subspaces of fixed grades, subspaces determined by the grade involution and the reversion, and their direct sums. The results can be useful for applications of Clifford algebras in computer science, physics, and engineering. |
| title | A Note on Centralizers and Twisted Centralizers in Clifford Algebras |
| topic | Rings and Algebras Mathematical Physics 15A66, 11E88 |
| url | https://arxiv.org/abs/2404.15169 |