We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.
@article{bwmeta1.element.bwnjournal-article-cmv86i2p259bwm,
author = {Zbigniew Leszczy\'nski and Andrzej Skowro\'nski},
title = {Tame triangular matrix algebras},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {259-303},
zbl = {0978.16014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv86i2p259bwm}
}
Leszczyński, Zbigniew; Skowroński, Andrzej. Tame triangular matrix algebras. Colloquium Mathematicae, Tome 84/85 (2000) pp. 259-303. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv86i2p259bwm/
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