4 papers · 1 filter
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…
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.…
On the Structure of Low-Dimensional Poisson Algebras over Arbitrary Fields
A. V. Petrov, O. O. Pypka
We investigate the structure of Poisson algebras of dimensions at most three over an arbitrary field. Our approach is based on the internal structure of the associated commutative…
Dedekind Poisson Algebras over Arbitrary Fields
A. I. Plakosh, O. O. Pypka
We study Poisson algebras in which every Poisson subalgebra is a Poisson ideal, called Dedekind Poisson algebras, over arbitrary fields and without any finite-dimensionality assump…