Classical dynamical \(r\)-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras
From MaRDI portal
Publication:1611330
DOI10.1023/A:1016231526203zbMath1006.17019arXivmath/0110319MaRDI QIDQ1611330
Alexander Stolin, Eugene Karolinsky
Publication date: 21 August 2002
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0110319
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Differential geometry of homogeneous manifolds (53C30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie bialgebras; Lie coalgebras (17B62)
Related Items
The 4th structure, AdS Poisson homogeneous spaces and Drinfel’d doubles, Equivariant quantization of Poisson homogeneous spaces and Kostant's problem, Topological Lie bialgebras, Manin triples and their classification over \(gx\), Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation, On some Lie bialgebra structures on polynomial algebras and their quantization, Classification of classical twists of the standard Lie bialgebra structure on a loop algebra, A family of Poisson non-compact symmetric spaces, New \(r\)-matrices for Lie bialgebra structures over polynomials, On the variety of Lagrangian subalgebras, II, From dynamical to non-dynamical twists, Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization, Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
