Cartan matrices of symmetric algebras having generalized standard stable tubes



Osaka Journal of Mathematics

Cartan matrices of symmetric algebras having generalized standard stable tubes

Jerzy Biał kowski, Andrzej Skowroński and Kunio Yamagata

Source: Osaka J. Math. Volume 45, Number 1 (2008), 159-171.

Abstract

We prove that the Cartan matrices of the symmetric artin algebras whose Auslander-Reiten quivers admit a generalized standard stable tube are singular and derive some consequences.

Primary Subjects: 16D50, 16G70
Secondary Subjects: 16D40, 16G10

Full-text: Access granted (open access)

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ojm/1205503563


2008 © Osaka University and Osaka City University, Departments of Mathematics