Classification of the d-representation-finite symmetric k-algebras of finite representation type

Abstract

We give a complete classification of all $d$-representation-finite symmetric Nakayama algebras and of all $d$-representation-finite trivial extensions of path algebras of quivers, over an arbitrary field. As a consequence we get a classification, up to Morita equivalence, of all $d$-representation-finite symmetric algebras of finite representation type over an algebraically closed field.

11 pages. V4: extended version with a more general classification result

References in corpus (4)

• Higher Nakayama algebras I: Construction
• d-Representation-finite self-injective algebras
• $n$-cluster tilting subcategories of representation-directed algebras
• Periodicity of cluster tilting objects