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On the Structure of the Algebra of Derivations for Some Low-Dimensional Leibniz Algebras

  • Leonid Kurdachenko,
  • Mykola Semko,
  • Viktoriya Yashchuk

摘要

We start the description of the algebra of derivations of Leibniz algebras with dimension 3. It is clear that the description of the algebra of derivations of all Leibniz algebras with dimension 3 is quite large. Therefore, we focus on the description of nilpotent Leibniz algebras whose nilpotency class is equal to 3 and nilpotent Leibniz algebras whose center has dimension 2.