Search Results - "Waldmann, Stefan"
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Deformation Quantization of Poisson Structures Associated to Lie Algebroids
Published in Symmetry, integrability and geometry, methods and applications (01-01-2009)“…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
A nuclear Weyl algebra
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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Formal GNS Construction and States in Deformation Quantization
Published in Communications in mathematical physics (01-08-1998)Get full text
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Convergent star products on cotangent bundles of Lie groups
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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BRST Reduction of Quantum Algebras with ∗-Involutions
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
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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BRST Cohomology and Phase Space Reduction in Deformation Quantization
Published in Communications in mathematical physics (01-03-2000)Get full text
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Locality in GNS Representations of Deformation Quantization
Published in Communications in mathematical physics (01-03-2000)Get full text
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9
Morita Equivalence of Formal Poisson Structures
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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Strict deformation quantization of locally convex algebras and modules
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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A Serre–Swan theorem for coisotropic algebras
Published in Pacific journal of mathematics (06-04-2022)Get full text
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Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization
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
Coisotropic Triples, Reduction and Classical Limit
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2019)“…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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A universal construction of universal deformation formulas, Drinfeld twists and their positivity
Published in Pacific journal of mathematics (01-12-2017)Get full text
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15
Deformation and Hochschild cohomology of coisotropic algebras
Published in Annali di matematica pura ed applicata (2022)“…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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Obstructions for twist star products
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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Involutions and representations for reduced quantum algebras
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
Published in Boletim da Sociedade Brasileira de Matemática (01-12-2011)“…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
Published in Progress of theoretical physics. Supplement (01-01-2001)“…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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Classical KMS Functionals and Phase Transitions in Poisson Geometry
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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