Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types

DOI10.1090/ert/601zbMath1495.17021arXiv1710.11288OpenAlexW2765230725MaRDI QIDQ5068100

Ryo Fujita

Publication date: 5 April 2022

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

Full work available at URL: https://arxiv.org/abs/1710.11288

zbMATH Keywords

quiver Hecke algebraquantum loop algebraquantum affine Schur-Weyl dualityaffine highest weight categorygraded quiver variety

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (6)

\(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras ⋮ Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras ⋮ Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm ⋮ Hall algebras and quantum symmetric pairs. III: Quiver varieties ⋮ Quantum affine algebras and cluster algebras ⋮ Equivariant multiplicities via representations of quantum affine algebras

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