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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…