Search Results - "Waldmann, Stefan"

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  1. 1

    Deformation Quantization of Poisson Structures Associated to Lie Algebroids by Neumaier, Nikolai

    “…In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E ? M is a Lie algebroid. Although the…”
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  2. 2

    A nuclear Weyl algebra by Waldmann, Stefan

    Published in Journal of geometry and physics (01-07-2014)
    “…A bilinear form on a possibly graded vector space V defines a graded Poisson structure on its graded symmetric algebra together with a star product quantizing…”
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    Convergent star products on cotangent bundles of Lie groups by Heins, Michael, Roth, Oliver, Waldmann, Stefan

    Published in Mathematische annalen (01-06-2023)
    “…For a connected real Lie group G we consider the canonical standard-ordered star product arising from the canonical global symbol calculus based on the…”
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  5. 5

    BRST Reduction of Quantum Algebras with ∗-Involutions by Esposito, Chiara, Kraft, Andreas, Waldmann, Stefan

    Published in Communications in mathematical physics (01-09-2020)
    “…In this paper we investigate the compatibility of the BRST reduction procedure with the Hermiticity of star products. First, we introduce the generalized…”
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    Classification of Equivariant Star Products on Symplectic Manifolds by Reichert, Thorsten, Waldmann, Stefan

    Published in Letters in mathematical physics (01-05-2016)
    “…In this note, we classify invariant star products with quantum momentum maps on symplectic manifolds by means of an equivariant characteristic class taking…”
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    Morita Equivalence of Formal Poisson Structures by Bursztyn, Henrique, Ortiz, Inocencio, Waldmann, Stefan

    Published in International mathematics research notices (12-09-2022)
    “…We extend the notion of Morita equivalence of Poisson manifolds to the setting of formal Poisson structures, that is, formal power series of bivector fields…”
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  10. 10

    Strict deformation quantization of locally convex algebras and modules by Lechner, Gandalf, Waldmann, Stefan

    Published in Journal of geometry and physics (01-01-2016)
    “…In this work various symbol spaces with values in a sequentially complete locally convex vector space are introduced and discussed. They are used to define…”
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    Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization by Bursztyn, Henrique, Waldmann, Stefan

    Published in Journal of geometry and physics (01-03-2001)
    “…In this paper, we consider algebras with involution over a ring C which is given by the quadratic extension by i of an ordered ring R . We discuss the ∗…”
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  13. 13

    Coisotropic Triples, Reduction and Classical Limit by Dippell, Marvin, Esposito, Chiara, Waldmann, Stefan

    “…Coisotropic reduction from Poisson geometry and deformation quantization is cast into a general and unifying algebraic framework: we introduce the notion of…”
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    Deformation and Hochschild cohomology of coisotropic algebras by Dippell, Marvin, Esposito, Chiara, Waldmann, Stefan

    “…Coisotropic algebras consist of triples of algebras for which a reduction can be defined and unify in a very algebraic fashion coisotropic reduction in several…”
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  16. 16

    Obstructions for twist star products by Bieliavsky, Pierre, Esposito, Chiara, Waldmann, Stefan, Weber, Thomas

    Published in Letters in mathematical physics (01-05-2018)
    “…In this short note, we point out that not every star product is induced by a Drinfel’d twist by showing that not every Poisson structure is induced by a…”
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  17. 17

    Involutions and representations for reduced quantum algebras by Gutt, Simone, Waldmann, Stefan

    Published in Advances in mathematics (New York. 1965) (01-08-2010)
    “…In the context of deformation quantization, there exist various procedures to deal with the quantization of a reduced space M red . We shall be concerned here…”
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    Morita theory in deformation quantization by Waldmann, Stefan

    “…Various aspects of Morita theory of deformed algebras and in particular of star product algebras on general Poisson manifolds are discussed. We relate the…”
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    Deformation of Hermitian Vector Bundles and Non-Commutative Field Theory by Waldmann, Stefan

    “…In this note I will relate some recent results on the *-representation theory of star product algebras to the deformation quantization of Hermitian vector…”
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  20. 20

    Classical KMS Functionals and Phase Transitions in Poisson Geometry by Drago, Nicolò, Waldmann, Stefan

    Published 26-04-2023
    “…Journal of Symplectic Geometry Vol. 21, no. 5., 2023 We study the convex cone of not necessarily smooth measures satisfying the classical KMS condition within…”
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