Tame triangular matrix algebras
Volume 86 / 2000
Colloquium Mathematicum 86 (2000), 259-303
DOI: 10.4064/cm-86-2-259-303
Abstract
We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra $T_2(A)$ of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which $T_2(A)$ is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.
