Quantization of a Poisson structure on products of principal affine spaces

DOI10.4171/JNCG/386zbMath1485.53107arXiv1807.09843OpenAlexW3096623284MaRDI QIDQ2032776

Victor Mouquin

Publication date: 14 June 2021

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09843

zbMATH Keywords

quantum groupsLie bialgebrasPoisson Lie groupslocally factored algebrapolyuble Poisson Lie groupprincipal affine spacequasitriangular \(r\)-matrix

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Yang-Baxter equations (16T25)

Cites Work

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• Geometry of canonical bases and mirror symmetry
• Quantization of projective homogeneous spaces and duality principle.
• Quantization of Lie bialgebras. II, III
• Algebraic geometry of Poisson brackets
• Double Bruhat cells and symplectic groupoids
• Flat connections and polyubles
• Quantization of Lie bialgebras. I
• Moduli spaces of local systems and higher Teichmüller theory
• Symmetry, Representations, and Invariants
• Mixed Product Poisson Structures Associated to Poisson Lie Groups and Lie Bialgebras

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