144 citations · 252 across the 12 of their papers we have counts for
6 papers · 1 filter
An algebra of deformation quantization for star-exponentials on complex symplectic manifolds
Giuseppe Dito, Pierre Schapira
The cotangent bundle to a complex manifold is classically endowed with the sheaf of $\cor$-algebras $\W[T^*X]$ of deformation quantization, where $\cor\eqdot \W[\rmptt]$…
Deformation quantization on a Hilbert space
Giuseppe Dito
We study deformation quantization on an infinite-dimensional Hilbert space endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made…
Deformation quantization of covariant fields
Giuseppe Dito
After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantiz…
Deformation Quantization: Genesis, Developments and Metamorphoses
Giuseppe Dito, Daniel Sternheimer
We start with a short exposition of developments in physics and mathematics that preceded, formed the basis for, or accompanied, the birth of deformation quantization in the sevent…
Kontsevich star-product on the dual of a Lie algebra
Giuseppe Dito
We show that on the dual of a Lie algebra $\g$ of dimension , the star-product recently introduced by M. Kontsevich is equivalent to the Gutt star-product on $\g^\ast$. We give…
On generalized Abelian deformations
Giuseppe Dito
We study sun-products on , i.e. generalized Abelian deformations associated with star-products for general Poisson structures on . We show that their cochains are given…