Stokes phenomena, Poisson-Lie groups and quantum groups

DOI10.1016/j.aim.2023.109189zbMath1528.17012arXiv2202.10298OpenAlexW4382865810MaRDI QIDQ6175958

Xiaomeng Xu, Valerio Toledano Laredo

Publication date: 25 July 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.10298

zbMATH Keywords

quantum groupsPoisson-Lie groupsStokes phenomenalinearization of Poisson structuresdynamical KZ equations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (1)

Stokes phenomenon and Yang-Baxter equations

Cites Work

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• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Cohomological construction of relative twists
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Quantization of Lie bialgebras. VI: Quantization of generalized Kac-Moody algebras
• The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
• Quantization of Lie bialgebras. II, III
• Differential equations compatible with KZ equations
• Stokes matrices, Poisson Lie groups and Frobenius manifolds.
• The quantum duality principle
• A Kohno-Drinfeld theorem for quantum Weyl groups
• Poisson algebras associated to quasi-Hopf algebras.
• Quantization of Lie bialgebras. I
• Casimir operators and monodromy representations of generalised braid groups
• Stokes factors and multilogarithms
• Comparison of Poisson structures and Poisson-Lie dynamical r-matrices
• Quasi-Coxeter Algebras, Dynkin Diagram Cohomology, and Quantum Weyl Groups
• Tensor Structures Arising from Affine Lie Algebras. III
• Irregular Riemann–Hilbert Correspondence, Alekseev–Meinrenken Dynamical r-Matrices, and Drinfeld Twists

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