Parametrizing equivalence classes of invariant star products
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Publication:1281580
DOI10.1023/A:1007598606137zbMath0943.53051MaRDI QIDQ1281580
Simone Gutt, Mélanie Bertelson, Pierre Bieliavsky
Publication date: 20 June 1999
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
subgroupdeformation quantizationsymplectic manifolddeRham cohomologyinvariant star productsymplectic transformation
Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)
Related Items (19)
Classification of equivariant star products on symplectic manifolds ⋮ Quantization of symplectic dynamical \(r\)-matrices and the quantum composition formula ⋮ Wick rotations in deformation quantization ⋮ Deformations of momentum maps and G-systems ⋮ Deformation quantization and homological reduction of a lattice gauge model ⋮ A universal construction of universal deformation formulas, Drinfeld twists and their positivity ⋮ A non-formal formula for the Rankin-Cohen deformation quantization ⋮ Equivalence of invariant star-products: the ``retract method ⋮ Morita theory in deformation quantization ⋮ Characteristic (Fedosov-)class of a twist constructed by Drinfel'd ⋮ Category of quantizations and inverse problem ⋮ Classification of invariant star products up to equivariant Morita equivalence on symplectic manifolds ⋮ Invariant star products of Wick type: classification and quantum momentum mappings ⋮ Some remarks on \(\mathfrak g\)-variant Fedosov star products and quantum momentum mappings ⋮ QUANTUM MOMENT MAPS AND INVARIANTS FOR G-INVARIANT STAR PRODUCTS ⋮ A remark on the deformation of GNS representations of *-algebras ⋮ The deformation quantizations of the hyperbolic plane ⋮ Group actions in deformation quantization ⋮ Triangular dynamical \(r\)-matrices and quantization
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