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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.RA2025
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…
math.RA2024
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…