Representation-tame locally hereditary algebras
Volume 99 / 2004
Colloquium Mathematicum 99 (2004), 175-187
MSC: Primary 16G70, 18G20; Secondary 16G16.
DOI: 10.4064/cm99-2-3
Abstract
Let $A$ be a finite-dimensional algebra over an algebraically closed field. The algebra $A$ is called locally hereditary if any local left ideal of $A$ is projective. We give criteria, in terms of the Tits quadratic form, for a locally hereditary algebra to be of tame representation type. Moreover, the description of all representation-tame locally hereditary algebras is completed.
