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

Fuente: arXiv
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Autori principali: Darpö, Erik, Kringeland, Tor
Natura: Preprint
Pubblicazione: 2021
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author Darpö, Erik
Kringeland, Tor
author_facet Darpö, Erik
Kringeland, Tor
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2103_15380
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Classification of the d-representation-finite symmetric k-algebras of finite representation type
Darpö, Erik
Kringeland, Tor
Representation Theory
Rings and Algebras
16G10 (16D50, 16E30, 16E35, 16G20, 20C20)
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.
title Classification of the d-representation-finite symmetric k-algebras of finite representation type
topic Representation Theory
Rings and Algebras
16G10 (16D50, 16E30, 16E35, 16G20, 20C20)
url https://arxiv.org/abs/2103.15380