Trigonometric dynamical \(r\)-matrices over Poisson Lie base

DOI10.1007/s11005-004-5924-5zbMath1119.17010arXivmath/0403207OpenAlexW1972564578MaRDI QIDQ2571640

Andrey Mudrov

Publication date: 14 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0403207

zbMATH Keywords

Poisson Lie groupsDynamical Yang-Baxter equationPoisson Lie manifolds

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63)

Related Items (2)

On Dynamical Galois Extensions ⋮ Quantum groupoids and dynamical categories.

Cites Work

• Unnamed Item
• Classical r-matrix and exchange algebra in WZNW and Toda theories
• Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
• Quantization of classical dynamical \(r\)-matrices with nonabelian base
• Dynamical Yang-Baxter equation and quantum vector bundles
• On a Poisson--Lie analogue of the classical dynamical Yang--Baxter equation for self-dual Lie algebras
• On Poisson homogeneous spaces of Poisson-Lie groups
• The non-commutative Weil algebra
• Quantum groupoids and dynamical categories.
• Comparison of Poisson structures and Poisson-Lie dynamical r-matrices
• The chiral WZNW phase space and its Poisson-Lie groupoid

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