Double quantization of \(\mathbb{C}\mathbb{P}^n\) type orbits by generalized Verma modules

DOI10.1016/S0393-0440(98)00025-4zbMath0945.17003arXivmath/9803155OpenAlexW2031599069MaRDI QIDQ1299167

V. Pereyra

Publication date: 8 August 2000

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

Full work available at URL: https://arxiv.org/abs/math/9803155

zbMATH Keywords

Poisson bracketgeneralized Verma moduleflat deformationbraided algebratwisted Hopf algebra\(R\)-matrix bracketbraided moduledouble quantizationorbit of \({\mathbb C}{\mathbb P}^n\) typePoisson pencil

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (4)

Unnamed Item ⋮ COTANGENT AND TANGENT MODULES ON QUANTUM ORBITS ⋮ Quantum anchor: \(U_q (sl(2))\) case ⋮ Poisson Homology of r-Matrix Type Orbits I: Example of Computation

Cites Work

• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Quantum spheres
• Quantization of Poisson pairs: The \(R\)-matrix approach
• Deformation theory and quantization. I: Deformations of symplectic structures
• Braided groups of Hopf algebras obtained by twisting
• On Poisson pairs associated to modified \(R\)-matrices
• A simple geometrical construction of deformation quantization
• Double quantization on the coadjoint representation of \(\text{sl}(n)\)
• A family of Poisson structures on Hermitian symmetric spaces
• Noncommutative differential geometry related to the Yang-Baxter equation.
• Deformation quantization of Poisson manifolds
• Quantum symmetric spaces
• Quantum orbits of the \(R\)-matrix type
• Quantization of Poisson pencils and generalized Lie algebras
• Non-commutative analogues ofq-special polynomials and aq-integral on a quantum sphere
• Algebraic structures related to reflection equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Double quantization of \(\mathbb{C}\mathbb{P}^n\) type orbits by generalized Verma modules