Representation type of finite quiver Hecke algebras of type 𝐷⁽²⁾_{ℓ+1}

Ariki, Susumu; Park, Euiyong

doi:10.1090/tran/6411

Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell +1}$
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by Susumu Ariki and Euiyong Park PDF

Trans. Amer. Math. Soc. 368 (2016), 3211-3242 Request permission

Abstract:

We give an 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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