Cluster realisations of \(\imath\)quantum groups of type AI

DOI10.1112/plms.12636MaRDI QIDQ6642277

Jinfeng Song

Publication date: 22 November 2024

Published in: Proceedings of the London Mathematical Society. Third Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cluster algebras (13F60)

Cites Work

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• Braid group actions on coideal subalgebras of quantized enveloping algebras
• The quantum dilogarithm and representations of quantum cluster varieties
• Quantum symmetric pairs and their zonal spherical functions.
• Canonical bases arising from quantum symmetric pairs
• Donaldson-Thomas transformations of moduli spaces of G-local systems
• Symmetric pairs for quantized enveloping algebras
• Strong positivity for quantum theta bases of quantum cluster algebras
• Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras
• Stokes manifolds and cluster algebras
• Braid group actions for quantum symmetric pairs of type AIII/AIV
• Factorisation of quasi \(K\)-matrices for quantum symmetric pairs
• A cluster realization of \(U_q(\mathfrak {sl}_{\mathfrak {n}})\) from quantum character varieties
• Teichmüller theory of bordered surfaces
• Quantum cluster algebras.
• Moduli spaces of local systems and higher Teichmüller theory
• Classical weight modules over \(\imath\)quantum groups
• Cluster algebras I: Foundations
• Cluster ensembles, quantization and the dilogarithm
• Introduction to quantum groups
• Hall algebras and quantum symmetric pairs I: Foundations
• Log-Canonical Coordinates for Symplectic Groupoid and Cluster Algebras

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