Wild Representation Type

A classification label for an algebra (or algebraic object) whose module or representation category is at least as complicated as the category of finite-dimensional representations of the free associative algebra in two generators; informally, indecomposables occur in arbitrarily complicated parameter families and a complete classification is as hard as classifying pairs of matrices up to simultan

A class of finite-dimensional algebras whose module classification problem is at least as complicated as classifying finite-dimensional representations of the free associative algebra in two noncommuting variables; equivalently, the category of finite-dimensional modules admits a representation-embedding of the module category of the free algebra k so that arbitrary two-parameter families of indec