3 papers
math.RA2026
Derivation Algebras of Three-Dimensional Leibniz Algebras: A Complete Description
Leonid A. Kurdachenko, Oleksandr O. Pypka, Mykola M. Semko
Derivation algebras are natural structural invariants of Leibniz algebras. In a number of earlier papers, derivations were described for several classes of one-generated, nilpotent…
math.RA2026
Automorphism Groups of Three-Dimensional Leibniz Algebras: A Complete Description
Leonid A. Kurdachenko, Oleksandr O. Pypka, Mykola M. Semko
Automorphism groups are among the most natural structural invariants of an algebra, and their explicit determination is a basic problem in the structure theory of Leibniz algebras.…
math.RA2024
Some three-dimensional non-nilpotent Leibniz algebras: automorphism groups
Leonid A. Kurdachenko, Oleksandr O. Pypka, Igor Ya. Subbotin
The article presents the structure of the automorphism groups of two types of non-nilpotent Leibniz algebras with a dimension of 3.