23 citations · 107 across the 43 of their papers we have counts for
13 papers · 1 filter
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…
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…
Transfer results for Frobenius extensions
Stephane Launois, Lewis Topley
We study Frobenius extensions which are free-filtered by a totally ordered, finitely generated abelian group, and their free-graded counterparts. First we show that the Frobenius p…
On the Dixmier-Moeglin equivalence for Poisson-Hopf algebra
Stéphane Launois, Omar León Sánchez
We prove that the Poisson version of the Dixmier-Moeglin equivalence holds for cocommutative affine Poisson-Hopf algebras. This is a first step towards understanding the symplectic…
Poisson Deleting Derivations Algorithm and Poisson Spectrum
Stéphane Launois, César Lecoutre
In [5] Cauchon introduced the so-called deleting derivations algorithm. This algorithm was first used in noncommutative algebra to prove catenarity in generic quantum matrices, and…
Classification of factorial generalized down-up algebras
Stéphane Launois, Samuel A. Lopes
We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ring.