Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell+1}$

Euiyong Park; Susumu Ariki

arxiv: 1305.6367 · v4 · pith:LHLQEZCOnew · submitted 2013-05-28 · 🧮 math.RT

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

Susumu Ariki , Euiyong Park This is my paper

classification 🧮 math.RT

keywords typequiverrepresentationalgebrasbetafiniteheckelambda

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We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras $R^{\Lambda_0}(\beta)$ of affine type $D^{(2)}_{\ell+1}$, which tells their representation type. If $R^{\Lambda_0}(\beta)$ is not of wild representation type, we may compute its stable Auslander-Reiten quiver.

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

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