12 citations · 14 across the 6 of their papers we have counts for
6 papers
On a general approach to the formal cohomology of quadratic Poisson structures
Mohsen Masmoudi, Norbert Poncin
We propose a general approach to the formal Poisson cohomology of -matrix induced quadratic structures, we apply this device to compute the cohomology of structure 2 of the Dufo…
Derivations of the Lie Algebras of Differential Operators
J. Grabowski, N. Poncin
This paper encloses a complete and explicit description of the derivations of the Lie algebra D(M) of all linear differential operators of a smooth manifold M, of its Lie subalgebr…
Lie algebraic characterization of manifolds
Janusz Grabowski, Norbert Poncin
Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended. In particul…
Automorphisms of quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
We prove Pursell-Shanks type results for the Lie algebra D(M) of all linear differential operators of a smooth manifold M, for its Lie subalgebra D^1(M) of all linear first-order d…
Equivariant symbol calculus for differential operators acting on forms
F. Boniver, S. Hansoul, P. Mathonet +1
We prove the existence and uniqueness of a projectively equivariant symbol map (in the sense of Lecomte and Ovsienko) for the spaces of differential operators transforming p-…
Equivariant Operators between some Modules of the Lie Algebra of Vector Fields
Norbert Poncin
The space D(k,p) of differential operators of order at most k, from the differential forms of degree p of a smooth manifold M into the functions of M, is a module over the Lie alge…