Tame triangular matrix algebras

Zbigniew Leszczyński; Andrzej Skowroński

Colloquium Mathematicae (2000)

  • Volume: 86, Issue: 2, page 259-303
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Leszczyński, Zbigniew, and Skowroński, Andrzej. "Tame triangular matrix algebras." Colloquium Mathematicae 86.2 (2000): 259-303. <http://eudml.org/doc/210855>.

@article{Leszczyński2000,
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.},
author = {Leszczyński, Zbigniew, Skowroński, Andrzej},
journal = {Colloquium Mathematicae},
keywords = {finite representation type; classification by convex subcategories; Galois coverings; triangular matrix algebras; tame representation type; domestic type; algebras of polynomial growth; Auslander algebras},
language = {eng},
number = {2},
pages = {259-303},
title = {Tame triangular matrix algebras},
url = {http://eudml.org/doc/210855},
volume = {86},
year = {2000},
}

TY - JOUR
AU - Leszczyński, Zbigniew
AU - Skowroński, Andrzej
TI - Tame triangular matrix algebras
JO - Colloquium Mathematicae
PY - 2000
VL - 86
IS - 2
SP - 259
EP - 303
AB - 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.
LA - eng
KW - finite representation type; classification by convex subcategories; Galois coverings; triangular matrix algebras; tame representation type; domestic type; algebras of polynomial growth; Auslander algebras
UR - http://eudml.org/doc/210855
ER -

References

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