Quantum dynamical Yang-Baxter equation over a nonabelian base

DOI10.1007/s002200200621zbMath1037.17015arXivmath/0104071OpenAlexW3099823199MaRDI QIDQ1598135

Ping Xu

Publication date: 29 May 2002

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

Full work available at URL: https://arxiv.org/abs/math/0104071

zbMATH Keywords

deformation quantizationPoisson structuresdynamical Yang-Baxter equationdynamical \(r\)-matrices

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Deformation quantization, star products (53D55)

Related Items (12)

Quantization of symplectic dynamical \(r\)-matrices and the quantum composition formula ⋮ Dynamical centers for the elliptic quantum algebra $ \newcommand{\elpb}[1{{{\mathcal{B}}_{q,\lambda}(\widehat{gl}_{#1})_c}} \newcommand{\e}{{\rm e}} \elpb{2}$] ⋮ A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections ⋮ Quantization and dynamisation of trace-Poisson brackets ⋮ Quantum groupoids and dynamical categories. ⋮ Covariant and equivariant formality theorems ⋮ Quantization of formal classical dynamical \(r\)-matrices: the reductive case ⋮ Quantization of classical dynamical \(r\)-matrices with nonabelian base ⋮ Dynamical Yang-Baxter equation and quantum vector bundles ⋮ Constructing dynamical twists over a non-Abelian base. ⋮ Spin chains from dynamical quadratic algebras ⋮ Triangular dynamical \(r\)-matrices and quantization

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