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Title

Tame triangular matrix algebras

Authors 1, 1

Affiliations

  1. Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Abstract

We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra T2(A) of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which T2(A) is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.

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Colloquium Mathematicum
2000/86/2
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Pages:
259-303
Main language of publication
English
Received
2000-03-29
Accepted
2000-04-28
Published
2000
Exact and natural sciences