Work

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

Year: 2026

Type: article

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.

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2026.09.032

Authors: Erik Darpö, Tor Kringeland

Institutions: Linköping University, Norwegian University of Science and Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funder: Japan Society for the Promotion of Science