6 citations · 15 across the 7 of their papers we have counts for
17 papers
The Covariant Picard Groupoid in Differential Geometry
Stefan Waldmann
In this article we discuss some general results on the covariant Picard groupoid in the context of differential geometry and interpret the problem of lifting Lie algebra actions to…
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 *…
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…
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…
Deformation Quantization: Observable Algebras, States and Representation Theory
Stefan Waldmann
In these lecture notes I give an introduction to deformation quantization. The quantization problem is discussed in some detail thereby motivating the notion of star products. Star…