Two explicit symmetric algebras, the 36-dimensional lift A and the 84-dimensional 3-spherical algebra S, are 3-representation-finite but cannot be presented as orbit algebras of repetitive categories.
Weighted surface algebras: general version
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Cyclic covers and non-orbit 3-representation-finite symmetric algebras
Two explicit symmetric algebras, the 36-dimensional lift A and the 84-dimensional 3-spherical algebra S, are 3-representation-finite but cannot be presented as orbit algebras of repetitive categories.