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math.RT2022
Clannish algebras are of amenable representation type
Sebastian Eckert
We revisit G. Elek's notion of amenable representation type, where algebras are characterised by every indecomposable module being "almost" the direct sum of modules of bounded dim…
math.RT2020
Tame (hereditary) algebras of amenable representation type
Sebastian Eckert
We show that all finite dimensional, tame hereditary -algebras are of amenable representation type (in the sense of G. Elek) for all fields . The proof is adapted from our pr…
math.RT2020
Wild Kronecker quivers and amenability
Sebastian Eckert
We apply the notion of hyperfinite families of modules to the wild path algebras of generalised Kronecker quivers . While the preprojective and postinjective component are h…