Invariants of Weyl group action and \(q\)-characters of quantum affine algebras

DOI10.1007/s10468-023-10205-1arXiv2207.09867MaRDI QIDQ6146914

Rei Inoue, Takao Yamazaki

Publication date: 15 January 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.09867

zbMATH Keywords

Weyl group\(q\)-charactercluster algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Cluster algebras (13F60)

Cites Work

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• Donaldson-Thomas transformations of moduli spaces of G-local systems
• On the cluster nature and quantization of geometric \(R\)-matrices
• Cluster algebras and Weil-Petersson forms
• The \(q\)-characters at roots of unity
• Cluster realizations of Weyl groups and higher Teichmüller theory
• Cluster realization of Weyl groups and \(q\)-characters of quantum affine algebras
• A cluster realization of \(U_q(\mathfrak {sl}_{\mathfrak {n}})\) from quantum character varieties
• Moduli spaces of local systems and higher Teichmüller theory
• Solutions of the generalized periodic discrete Toda equation

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