Dirac structures and dynamical \(r\)-matrices

DOI10.5802/aif.1838zbMath1029.53088arXivmath/9903119OpenAlexW1631404698MaRDI QIDQ5936669

Ping Xu, Zhang-Ju Liu

Publication date: 4 July 2001

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903119

zbMATH Keywords

Dirac structuresCourant algebroiddynamical r-matricesLagrangian subalgebraLie bialgebroid

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie bialgebras; Lie coalgebras (17B62) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Pseudogroups and differentiable groupoids (58H05)

Related Items (5)

2-PLECTIC MANIFOLDS AND ITS RELATION WITH COURANT ALGEBROIDS ⋮ The chiral WZNW phase space and its Poisson-Lie groupoid ⋮ Dirac submanifolds and Poisson involutions ⋮ Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids ⋮ Triangular dynamical \(r\)-matrices and quantization

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