173 citations · 557 across the 30 of their papers we have counts for
4 papers · 1 filter
Dequantized Differential Operators between Tensor Densities as Modules over the Lie Algebra of Contact Vector Fields
Yaël Frégier, Pierre Mathonet, Norbert Poncin
In recent years, algebras and modules of differential operators have been extensively studied. Equivariant quantization and dequantization establish a tight link between invariant…
On natural and conformally equivariant quantizations
P. Mathonet, F. Radoux
The concept of conformally equivariant quantizations was introduced by Duval, Lecomte and Ovsienko in \cite{DLO} for manifolds endowed with flat conformal structures. They obtained…
Approximations of Lovasz extensions and their induced interaction index
Jean-Luc Marichal, Pierre Mathonet
The Lovasz extension of a pseudo-Boolean function is defined on each simplex of the standard triangulation of as the unique affine function $\hat f…
Decomposition of symmetric tensor fields in the presence of a flat contact projective structure
Yael Fregier, Pierre Mathonet, Norbert Poncin
Let be an odd-dimensional Euclidean space endowed with a contact 1-form . We investigate the space of symmetric contravariant tensor fields on as a module over the Lie a…