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Concealed‐Canonical Algebras and Separating Tubular Families
Author(s) -
Lenzing Helmut,
De La Peña José Antonio
Publication year - 1999
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611599001872
Subject(s) - mathematics , pure mathematics , algebra over a field
We characterise those concealed‐canonical algebras which arise as endomorphism rings of tilting modules, all of whose indecomposable summands have strictly positive rank, as those artin algebras whose module categories have a separating exact subcategory (that is, a separating tubular family of standard tubes). This paper develops further the technique of shift automorphisms which arises from the tubular structure. It is related to the characterisation of hereditary noetherian categories with a tilting object as the categories of coherent sheaves on a weighted projective line. 1991 Mathematics Subject Classification : 11D25, 11G05, 14G05.

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