Abstract
We show that the central generic tameness of a finite-dimensional algebra Λ over a (possibly finite) perfect field, is equivalent to its non-almost sharp wildness. In this case: we give, for each natural number d, parametrizations of the indecomposable Λ-modules with central endolength d, modulo finite scalar extensions, over rational algebras. Moreover, we show that the central generic tameness of Λ is equivalent to its semigeneric tameness, and that in this case, algebraic boundedness coincides with central finiteness for generic Λ-modules.
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