A $\delta$-first Whitehead Lemma
| Autor: | Zohrabi, Arezoo, Zusmanovich, Pasha |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | J. Algebra 573 (2021), 476--491 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2020.12.040 |
| Popis: | We prove that $\delta$-derivations of a simple finite-dimensional Lie algebra over a field of characteristic zero, with values in a finite-dimensional module, are either inner derivations, or, in the case of adjoint module, multiplications by a scalar, or some exceptional cases related to $\mathfrak{sl}(2)$. This can be viewed as an extension of the classical first Whitehead Lemma. Comment: 11 pages; for the latest version of this text, see https://web.osu.cz/~Zusmanovich/papers/ |
| Databáze: | arXiv |
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