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

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

  

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**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Representation type of a (usually finite‑dimensional) algebra is the classification invariant that records whether the isomorphism classes of indecomposable modules form a finite set (representation‑finite), a union of finitely many one‑parameter families plus finitely many exceptions (tame), or include families as complicated as the representations of the free algebra in two generators (wild).