Quantization of symplectic dynamical \(r\)-matrices and the quantum composition formula

DOI10.1007/S00220-007-0245-ZzbMath1131.53049arXivmath/0606498OpenAlexW3105263351MaRDI QIDQ2385035

Damien Calaque, Anton Yu. Alekseev

Publication date: 11 October 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606498

zbMATH Keywords

quasi-Poisson manifoldsquantized dynamical \(r\)-matricesstrongly invariant star products

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parametrizing equivalence classes of invariant star products
• A simple geometrical construction of deformation quantization
• Non-abelian reduction in deformation quantization
• Triangular dynamical \(r\)-matrices and quantization
• Quantum dynamical Yang-Baxter equation over a nonabelian base
• Manin pairs and moment maps.
• Quantization of classical dynamical \(r\)-matrices with nonabelian base
• On dynamicalr-matrices obtained from Dirac reduction and their generalizations to affine Lie algebras
• Equivalence of star products
• Quasi-Poisson Manifolds

This page was built for publication: Quantization of symplectic dynamical \(r\)-matrices and the quantum composition formula