3 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
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…
Derivations of a family of quantum second Weyl algebras
S Launois, I Oppong
In view of a well-known theorem of Dixmier, its is natural to consider primitive quotients of as quantum analogues of Weyl algebras. In this work, we study th…