We give a classification of the graded simple modules of cyclotomic quiver Hecke algebras of type A using the diagram calculus of the diagrammatic Cherednik algebra. We also obtain a non-trivial lower bound for the dimension of the simple modules which is independent of the field characteristic. (c) 2021 Elsevier Inc. All rights reserved.
机构:
Univ Paris, Inst Math Jussieu Paris Rive Gauche, UMR 7586, CNRS, F-75013 Paris, FranceUniv Paris, Inst Math Jussieu Paris Rive Gauche, UMR 7586, CNRS, F-75013 Paris, France
机构:
Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
He, Zhekun
Hu, Jun
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机构:
Beijing Inst Technol, Sch Math & Stat, MIIT Key Lab Math Theory & Computat Informat Secur, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Hu, Jun
Lin, Huang
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Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China