Quantization of Poisson pairs: The \(R\)-matrix approach

DOI10.1016/0393-0440(92)90024-UzbMath0747.58058OpenAlexW2004729628MaRDI QIDQ1184418

Vladimir Rubtsov, N. M. Zobin, Dimitri Gurevich

Publication date: 28 June 1992

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(92)90024-u

zbMATH Keywords

deformationquantizationquantum Yang-Baxter equation\(R\)-matrix

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Groups and algebras in quantum theory (81R99)

Related Items

On unital braidings and quantization, Some Poisson structures associated to Drinfeld-Jimbo \(R\)-matrices and their quantization, Non-compact quantum groups associated with Abelian subgroups, Deformational quantization of Poisson structures, Quantum mechanics as a matrix symplectic geometry, Quantization of Poisson pencils and generalized Lie algebras, Unnamed Item, Solutions of the classical Yang-Baxter equation and noncommutative deformations, A family of Poisson structures on Hermitian symmetric spaces, Notes on Drinfeld twists of multiplier Hopf algebras, Totally positive sequences and \(R\)-matrix quadratic algebras, On the geometric quantization of \(R\)-matrix-type Poisson brackets, Double quantization of \(\mathbb{C}\mathbb{P}^n\) type orbits by generalized Verma modules, Poisson Homology of r-Matrix Type Orbits I: Example of Computation, On Poisson pairs associated to modified \(R\)-matrices

Cites Work

• Poisson brackets associated with the classical Yang-Baxter equation
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