On $(α,1,0)$-derivations of anti-commutative algebras
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916138249617408 |
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| author | Fernández-Culma, Edison Alberto |
| author_facet | Fernández-Culma, Edison Alberto |
| contents | We solve an open problem concerning the well-known $(α,β,γ)$-derivations, proving that the spaces of $(α,1,0)$-derivations of any Lie algebra are isomorphic ($α\neq 0,1$). Also, we prove sharp bounds for the invariants functions defined by such spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15807 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On $(α,1,0)$-derivations of anti-commutative algebras Fernández-Culma, Edison Alberto Rings and Algebras 17B40 (Primary) We solve an open problem concerning the well-known $(α,β,γ)$-derivations, proving that the spaces of $(α,1,0)$-derivations of any Lie algebra are isomorphic ($α\neq 0,1$). Also, we prove sharp bounds for the invariants functions defined by such spaces. |
| title | On $(α,1,0)$-derivations of anti-commutative algebras |
| topic | Rings and Algebras 17B40 (Primary) |
| url | https://arxiv.org/abs/2402.15807 |