6 citations · 18 across the 7 of their papers we have counts for
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Convergence of the Wick Star Product
Svea Beiser, Hartmann Roemer, Stefan Waldmann
We construct a Frechet space as a subspace of C^ω(C^n) where the Wick star product converges and is continuous. The resulting Frechet algebra A_h is studied in detail including a *…
Formalite adaptee et star-representations sur des sous-varietes coisotropes
Martin Bordemann, Gregory Ginot, Gilles Halbout +2
Let X be a Poisson manifold and C a coisotropic submanifold and let I be the vanishing ideal of C. In this work we want to construct a star product * on X such that I[[lambda]] is…
Induction of representations in deformation quantization
Henrique Bursztyn, Stefan Waldmann
We discuss the procedure of Rieffel induction of representations in the framework of formal deformation quantization of Poisson manifolds. We focus on the central role played by al…
The H-Covariant Strong Picard Groupoid
Stefan Jansen, Stefan Waldmann
The notion of H-covariant strong Morita equivalence is introduced for *-algebras over C = R(i) with an ordered ring R which are equipped with a *-action of a Hopf *-algebra H. This…
Star-Representations sur des sous-varietes co-isotropes
M. Bordemann, G. Ginot, G. Halbout +2
For a coisotropic (or first-class) submanifold C of a Poisson manifold X we consider star-products for which the vanishing ideal I of C becomes a left ideal in the deformed algebra…
Completely positive inner products and strong Morita equivalence
Henrique Bursztyn, Stefan Waldmann
We develop a general framework for the study of strong Morita equivalence in which -algebras and hermitian star products on Poisson manifolds are treated in equal footing. We…