3 citations · 3 across the 5 of their papers we have counts for
6 papers
A Characterization of Local Nilpotence for Derivations of Ore Extensions
Rene Baltazar, Samuel A. Lopes, Samuel Lopes +1
Let be an algebraically closed field of characteristic zero. A recent theorem of I. Pan characterizes the nonzero locally nilpotent derivations of in terms of…
Poisson derivations and cohomology of Poisson nilpotent algebras
Stéphane Launois, Samuel Lopes, Isaac Oppong
We compute the Poisson derivations and the first Poisson cohomology group of uniparameter Poisson Nilpotent Algebras (PNA for short) under the hypothesis that Poisson-normal elemen…
Representations of compatible Lie algebras
Xabier García-Martínez, Manuel Ladra, Bernardo Leite da Cunha +1
We study compatible Lie algebras from algebraic and representation-theoretic points of view, obtaining counterexamples to some fundamental theorems from classical Lie algebra theor…
Derivations and Hochschild cohomology of quantum nilpotent algebras
Stéphane Launois, Samuel A. Lopes, Isaac Oppong
We compute the derivations of Quantum Nilpotent Algebras under a technical (but necessary) assumption on the center. As a consequence, we give an explicit description of the first…
Homological properties of some quantum Heisenberg algebras
Samuel A. Lopes, Héctor Suárez, Yésica Suárez
In this paper we study the properties Koszul, Artin-Schelter regular and (skew) Calabi-Yau of some special types of quantum and generalized Heisenberg algebras and also analyze rel…
A classification of nilpotent compatible Lie algebras
Manuel Ladra, Bernardo Leite da Cunha, Samuel A. Lopes
Working over an arbitrary field of characteristic different from , we extend the Skjelbred-Sund method to compatible Lie algebras and give a full classification of nilpotent com…