Samuel A. Lopes

activity

20242026

most citedA classification of nilpotent compatible Lie algebras

3 citations · 3 across the 5 of their papers we have counts for

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math.RA2026

A Characterization of Local Nilpotence for Derivations of Ore Extensions

Rene Baltazar, Samuel A. Lopes, Samuel Lopes +1

Let $k$ be an algebraically closed field of characteristic zero. A recent theorem of I. Pan characterizes the nonzero locally nilpotent derivations of $k [x, y]$ in terms of…

math.RA2026

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…

math.RT2026

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…