On axial algebras with $3$ eigenvalues
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909333807169536 |
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| author | Afanasev, Vsevolod A. |
| author_facet | Afanasev, Vsevolod A. |
| contents | We study axial algebras, that is, commutative non-associative algebras generated by idempotents whose adjoint actions are semisimple and obey a fusion law. Considering the case, when said adjoint actions having $3$ eigenvalues and the fusion law is the least restrictive, we describe $2$-generated and $3$-generated algebras and prove some of their general properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On axial algebras with $3$ eigenvalues Afanasev, Vsevolod A. Rings and Algebras We study axial algebras, that is, commutative non-associative algebras generated by idempotents whose adjoint actions are semisimple and obey a fusion law. Considering the case, when said adjoint actions having $3$ eigenvalues and the fusion law is the least restrictive, we describe $2$-generated and $3$-generated algebras and prove some of their general properties. |
| title | On axial algebras with $3$ eigenvalues |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2410.02034 |