23 citations · 107 across the 43 of their papers we have counts for
49 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…
Derivations and the first Hochschild cohomology group of the quantum grassmannian
Stéphane Launois, Tom Lenagan
We calculate the derivations and the first Hochschild cohomology group of the quantum grassmannian over a field of characteristic zero in the generic case when the deformation para…
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…
A Deleting Derivations Algorithm for Quantum Nilpotent Algebras at Roots of Unity
Stéphane Launois, Samuel A. Lopes, Alexandra Rogers
This paper extends an algorithm and canonical embedding by Cauchon to a large class of quantum algebras. It applies to iterated Ore extensions over a field satisfying some suitable…