A classification of nilpotent compatible Lie algebras
| Autor: | Ladra, Manuel, da Cunha, Bernardo Leite, Lopes, Samuel A. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Working over an arbitrary field of characteristic different from $2$, we extend the Skjelbred-Sund method to compatible Lie algebras and give a full classification of nilpotent compatible Lie algebras up to dimension $4$. In case the base field is cubically closed, we find that there are three isomorphism classes and a one-parameter family in dimension $3$, and $12$ isomorphism classes, $6$ one-parameter families and two $2$-parameter families in dimension $4$ Comment: To appear in Rendiconti del Circolo Matematico di Palermo Series 2 |
| Databáze: | arXiv |
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