3 papers
math.RA2025
Polynomial invariants for 3-dimensional Leibniz algebras
Ivan Kaygorodov, Artem Lopatin
For each 3-dimensional non-Lie Leibniz algebra over the complex numbers, we describe the algebra of polynomial invariants and determine its group of automorphisms. As a consequence…
math.RA2024
Weak polynomial identities of small degree for the Weyl algebra
Artem Lopatin, Carlos Arturo Rodriguez Palma, Liming Tang
In this paper we investigate weak polynomial identities for the Weyl algebra over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial…
math.RA2023
Identities for subspaces of the Weyl algebra
Artem Lopatin, Carlos Arturo Rodriguez Palma
In this paper we describe the polynomial identities of degree 4 for a certain subspace of the Weyl algebra A_1 over an infinite field of arbitrary characteristic.