A family of Poisson structures on Hermitian symmetric spaces

DOI10.1007/BF02098301zbMath0785.58024MaRDI QIDQ1803954

Andrey Radul, Vladimir Rubtsov, Sergei Khoroshkin

Publication date: 29 June 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

coadjoint orbitHermitian symmetric spacePoisson-Lie structure

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential geometry of symmetric spaces (53C35)

Related Items

Quantum symmetric spaces, Quantum orbits of the \(R\)-matrix type, Some Poisson structures associated to Drinfeld-Jimbo \(R\)-matrices and their quantization, Integrable deformation of \(\mathbb{CP}^n\) and generalised Kähler geometry, Bruhat Poisson structure on CPn and integrable systems, Nijenhuis tensor and invariant polynomials, Dirac structures and Nijenhuis operators, Unnamed Item, Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians, A bi-Hamiltonian system on the Grassmannian, \(U_h(\mathfrak g)\) invariant quantization of coadjoint orbits and vector bundles over them, A Poisson structure on compact symmetric spaces, A family of Poisson non-compact symmetric spaces, Quantization of Poisson manifolds from the integrability of the modular function, On U\(_{\hbar}(\mathfrak g,r)\)-equivariant quantization of non-orbit homogeneous varieties, On the geometric quantization of \(R\)-matrix-type Poisson brackets, Double quantization of \(\mathbb{C}\mathbb{P}^n\) type orbits by generalized Verma modules, On Poisson pairs associated to modified \(R\)-matrices

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