scientific article; zbMATH DE number 222889

zbMath0783.17005MaRDI QIDQ5285803

Joseph Donin, Shahn Majid, Dimitri Gurevich

Publication date: 29 June 1993

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1993__58_2_235_0

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zbMATH Keywords

quantizationPoisson bracketsquantum sphereclassical \(R\)-matrix

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie algebras of vector fields and related (super) algebras (17B66)

Related Items (10)

Quantum symmetric spaces ⋮ Quasi-associativity and flatness criteria for quadratic algebra deformations ⋮ On the quantization of Poisson brackets ⋮ Quantum orbits of the \(R\)-matrix type ⋮ Some Poisson structures associated to Drinfeld-Jimbo \(R\)-matrices and their quantization ⋮ Quantization of Poisson pencils and generalized Lie algebras ⋮ \(R\)-matrix Poisson algebras and their deformations ⋮ Quantization by cochain twists and nonassociative differentials ⋮ The quantum double as quantum mechanics ⋮ On Poisson pairs associated to modified \(R\)-matrices

Cites Work

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• Quantum spheres
• 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
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
• Examples of braided groups and braided matrices

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