Some Poisson structures associated to Drinfeld-Jimbo \(R\)-matrices and their quantization

DOI10.1007/BF02762068zbMath0842.58039OpenAlexW1973264580MaRDI QIDQ1905771

Joseph Donin, Dimitri Gurevich

Publication date: 13 February 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762068

zbMATH Keywords

quantizationPoisson structures\(R\)-matrices

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometric quantization (53D50)

Related Items (6)

Quantum symmetric spaces ⋮ On the quantization of Poisson brackets ⋮ Quantum orbits of the \(R\)-matrix type ⋮ Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals ⋮ Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians ⋮ On Poisson pairs associated to modified \(R\)-matrices

Cites Work

• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Quantization of Poisson pairs: The \(R\)-matrix approach
• A family of Poisson structures on Hermitian symmetric spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some Poisson structures associated to Drinfeld-Jimbo \(R\)-matrices and their quantization