A universal construction of universal deformation formulas, Drinfeld twists and their positivity
From MaRDI portal
Publication:2406423
DOI10.2140/pjm.2017.291.319zbMath1425.17019arXiv1608.00412OpenAlexW3105787760MaRDI QIDQ2406423
Chiara Esposito, Stefan Waldmann, Jonas Schnitzer
Publication date: 27 September 2017
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.00412
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Deformation quantization, star products (53D55)
Related Items
Braided Cartan calculi and submanifold algebras, Twist star products and Morita equivalence, Fock representations and deformation quantization of Kähler manifolds, Characteristic (Fedosov-)class of a twist constructed by Drinfel'd, Twisted submanifolds of \(\mathbb{R}^n\), Group actions in deformation quantization, Universal deformation formula, formality and actions
Cites Work
- Unnamed Item
- Unnamed Item
- Classification of polarized deformation quantizations
- Formality theorem for Lie bialgebras and quantization of twists and coboundary \(r\)-matrices
- An explicit *-product on the cotangent bundle of a Lie group
- Deformation theory and quantization. I: Deformations of symplectic structures
- Deformation theory and quantization. II: Physical applications
- Parametrizing equivalence classes of invariant star products
- Bialgebra actions, twists, and universal deformation formulas
- A simple geometrical construction of deformation quantization
- Deformation quantization of Poisson manifolds
- Algebraic index theorem
- Deformation quantizations with separation of variables on a Kähler manifold
- On Gammelgaard's formula for a star product with separation of variables
- On the deformation of rings and algebras. III
- On the deformation of rings and algebras
- Poisson-Geometrie und Deformationsquantisierung
- Equivalence of star products
- STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION
- Formality Theory