On $(\alpha,1,0)$-derivations of anti-commutative algebras

Edison Alberto Fernández-Culma

On $(\alpha,1,0)$-derivations of anti-commutative algebras

Rings and Algebras 2024-02-27 v1

Authors: Edison Alberto Fernández-Culma

Abstract

We solve an open problem concerning the well-known $(\alpha,\beta,\gamma)$ -derivations, proving that the spaces of $(\alpha,1,0)$ -derivations of any Lie algebra are isomorphic ( $\alpha\neq 0,1$ ). Also, we prove sharp bounds for the invariants functions defined by such spaces.

Keywords

anti-commutative algebras lie algebras derivations isomorphism invariant functions sharp bounds

Cite

@article{arxiv.2402.15807,
  title  = {On $(\alpha,1,0)$-derivations of anti-commutative algebras},
  author = {Edison Alberto Fernández-Culma},
  journal= {arXiv preprint arXiv:2402.15807},
  year   = {2024}
}

Comments

9 pages. All comments or suggestions are most welcome

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