Ternary mappings of some evolution algebras
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913353019949056 |
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| author | Gonzalez, Candido Martin Rabie, Jacques Sanchez-Ortega, Juana |
| author_facet | Gonzalez, Candido Martin Rabie, Jacques Sanchez-Ortega, Juana |
| contents | The group scheme of ternary automorphisms of a perfect finite dimensional evolution algebra A is computed. The main advantage of using group schemes is that it allows to apply the Lie functor to determine the Lie algebra of ternary derivations of A. Using the generalised inverse of a matrix, we provide a precise classification of all ternary derivations of an arbitrary finite-dimensional evolution algebra A. The ternary derivations of all 2-dimensional evolution algebras are also computed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ternary mappings of some evolution algebras Gonzalez, Candido Martin Rabie, Jacques Sanchez-Ortega, Juana Rings and Algebras Primary 17A36, 17D92. Secondary 17D99 The group scheme of ternary automorphisms of a perfect finite dimensional evolution algebra A is computed. The main advantage of using group schemes is that it allows to apply the Lie functor to determine the Lie algebra of ternary derivations of A. Using the generalised inverse of a matrix, we provide a precise classification of all ternary derivations of an arbitrary finite-dimensional evolution algebra A. The ternary derivations of all 2-dimensional evolution algebras are also computed. |
| title | Ternary mappings of some evolution algebras |
| topic | Rings and Algebras Primary 17A36, 17D92. Secondary 17D99 |
| url | https://arxiv.org/abs/2405.10241 |