44 citations · 61 across the 5 of their papers we have counts for
5 papers
Poisson (co)homology of truncated polynomial algebras in two variables
Stephane Launois, Lionel Richard
We study the Poisson (co)homology of the algebra of truncated polynomials in two variables viewed as the semi-classical limit of a quantum complete intersection studied by Bergh an…
On Morita equivalence for simple Generalized Weyl algebras
Lionel Richard, Andrea Solotar
We give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges' result, which describes Morita equ…
Twisted Poincare duality for some quadratic Poisson algebras
S. Launois, L. Richard
We exhibit a Poisson module restoring a twisted Poincare duality between Poisson homology and cohomology for the polynomial algebra R=C[X_1,...,X_n] endowed with Poisson bracket ar…
Quasi-Lie structure of twisted derivations of Laurent polynomials
Lionel Richard, Sergei Silvestrov
Hartwig, Larsson and the second author in [J. Algebra, 2005] defined a bracket on sigma-derivations of a commutative algebra. We show that this bracket preserves inner derivations,…
Isomorphisms between quantum generalized Weyl algebras
Lionel Richard, Andrea Solotar
We study isomorphisms between generalized Weyl algebras, giving a complete answer to the quantum case of this problem for R=k[h].