12 citations · 14 across the 6 of their papers we have counts for
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math.RA2002
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…
math.RT2002★ 12 cited
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-…
math.RT2002★ 2 cited
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…