Braid group actions, Baxter polynomials, and affine quantum groups

Alex Weekes, Noah Friesen, Curtis Wendlandt

Publication date: 16 January 2025

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Cites Work

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Baxter's relations and spectra of quantum integrable models
Simple tensor products
Quantum affine algebras
Finite-dimensional representations of quantum affine algebras
PBW basis of quantized universal enveloping algebras
Braid group action and quantum affine algebras
Convex bases of PBW type for quantum affine algebras
Cyclicity and \(R\)-matrices
Coproduct for Yangians of affine Kac-Moody algebras
Yangians: their representations and characters
Standard modules of quantum affine algebras
On level-zero representation of quantized affine algebras.
On irreducibility of tensor products of Yangian modules associated with skew Young diagrams
Kac-Moody groups, their flag varieties and representation theory
Yangians, integrable quantum systems and Dorey's rule
Yangians and quantum loop algebras
Weyl group extension of quantized current algebras
The \(R\)-matrix presentation for the Yangian of a simple Lie algebra
Bethe subalgebras in Yangians and the wonderful compactification
The meromorphic \(R\)-matrix of the Yangian
Poles of finite-dimensional representations of Yangians
Shifted quantum affine algebras: integral forms in type \(A\)
Highest weights for truncated shifted Yangians and product monomial crystals
Local Weyl modules and cyclicity of tensor products for Yangians
Meromorphic tensor equivalence for Yangians and quantum loop algebras
On a class of representations of the Yangian and moduli space of monopoles
Representations of quantum affinizations and fusion product
Braid group action on affine Yangian
Braid group actions and tensor products
Yangians, quantum loop algebras, and abelian difference equations
Hecke Algebras with Unequal Parameters
Drinfeld coproduct, quantum fusion tensor category and applications
Introduction to quantum groups
Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.
Extended Baxter relations and QQ-systems for quantum affine algebras

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