##  [Wild Representation Type](/wild-representation-type) 

  ##  [Wild Representation Type](https://puremath.quantumdictionary.io/wild-representation-type-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

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

 

 

 

 

 





 

 



 ##  [Wild Representation Type](https://algebra.quantumdictionary.io/wild-representation-type-1) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

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