Representation type of finite quiver Hecke algebras of type D⁽²⁾_ℓ+1

2013/05/28 by Susumu Ariki, Euiyong Park, Ariki, Susumu +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1305.6367

openalex publication_date 2013/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras R^Λ₀(β) of affine type D⁽²⁾_ℓ+1, which tells their representation type. If R^Λ₀(β) is not of wild representation type, we may compute its stable Auslander-Reiten quiver.

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