scientific article

zbMath0970.81068arXivhep-th/9912173MaRDI QIDQ2709050

János Balog, László Fehér, László Palla

Publication date: 23 October 2001

Full work available at URL: https://arxiv.org/abs/hep-th/9912173

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zbMATH Keywords

Yang-Baxter equationsymplectic formBloch waves with diagonal monodromyexchange \(r\)-matricesfields with generic monodromyPoisson-Lie groupoidsquadratic Poisson bracket relations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantization in field theory; cohomological methods (81T70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Poisson manifolds; Poisson groupoids and algebroids (53D17) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (2)

Hamiltonian loop group actions and T-duality for group manifolds ⋮ Generalizations of Felder's elliptic dynamical \(r\)-matrices associated with twisted loop algebras of self-dual Lie algebras

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