3 papers
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…
math.QA2025
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…
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…