Clifford algebras, meson algebras and higher order generalisations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910025356673024 |
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| author | Dubois-Violette, Michel Torrecillas, Blas |
| author_facet | Dubois-Violette, Michel Torrecillas, Blas |
| contents | We analyse the homogeneous parts of Clifford and meson algebras and point out that for the Clifford algebra it is related to fermionic statistics, that is, to fermionic parastatistics of order 1 while for the meson algebra it is related to fermionic parastatistics of order 2. We extend these homogeneous algebras into corresponding algebras related to fermionic parastatistics of all orders. We then define correspondingly higher order generalizations of Clifford and meson algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09603 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Clifford algebras, meson algebras and higher order generalisations Dubois-Violette, Michel Torrecillas, Blas Quantum Algebra High Energy Physics - Theory Mathematical Physics We analyse the homogeneous parts of Clifford and meson algebras and point out that for the Clifford algebra it is related to fermionic statistics, that is, to fermionic parastatistics of order 1 while for the meson algebra it is related to fermionic parastatistics of order 2. We extend these homogeneous algebras into corresponding algebras related to fermionic parastatistics of all orders. We then define correspondingly higher order generalizations of Clifford and meson algebras. |
| title | Clifford algebras, meson algebras and higher order generalisations |
| topic | Quantum Algebra High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2602.09603 |