On Poisson pairs associated to modified \(R\)-matrices
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Publication:1325161
DOI10.1215/S0012-7094-94-07311-0zbMath0824.58022OpenAlexW2047685394MaRDI QIDQ1325161
Dmitri I. Panyushev, Dimitri Gurevich
Publication date: 9 November 1995
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07311-0
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Differential geometry of homogeneous manifolds (53C30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
Related Items (8)
Quantum symmetric spaces ⋮ Quasi-associativity and flatness criteria for quadratic algebra deformations ⋮ Unnamed Item ⋮ Quantum orbits of the \(R\)-matrix type ⋮ Quantization of Poisson pencils and generalized Lie 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
Cites Work
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- Some remarks on nilpotent orbits
- Quantization of Poisson pairs: The \(R\)-matrix approach
- Complexity and nilpotent orbits
- A family of Poisson structures on Hermitian symmetric spaces
- Some Poisson structures associated to Drinfeld-Jimbo \(R\)-matrices and their quantization
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
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