3 papers
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.QA2024
Is of type
Stéphane Launois, Isaac Oppong
By a theorem of Dixmier, primitive quotients of enveloping algebras of finite-dimensional complex nilpotent Lie algebras are isomorphic to Weyl algebras. In view of this result, it…
math.RA2023
Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras
S. Launois, I. Oppong
In previous paper, we studied deformations of the second Weyl algebra and computed their derivations. In the present paper, we identify the semiclassical limits $\mathcal…