Tame Representation Type

A classification status for an algebra (or representation problem) in which, for each fixed dimension, indecomposable representations occur in a finite number of discrete families plus finitely many one-parameter algebraic families; the problem is substantially more controllable than in the wild case.

A class of finite-dimensional algebras whose indecomposable finite-dimensional modules, in each fixed dimension, occur in finitely many discrete isomorphism classes together with finitely many one-parameter families; concretely, classification reduces to a finite list of discrete types and finitely many one-parameter families up to finitely many equivalences.