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CONCEALED-CANONICAL ALGEBRAS AND SEPARATING TUBULAR FAMILIES

Published online by Cambridge University Press:  01 May 1999

HELMUT LENZING  and
JOSÉ ANTONIO DE LA PEÑA
HELMUT LENZING
Affiliation:
Fachbereich Mathematik-Informatik, Universität-GH Paderborn, D-33095, Paderborn, Germany. E-mail:[email protected]
JOSÉ ANTONIO DE LA PEÑA
Affiliation:
Instituto de Matematicas, Universidad Nacional Autonoma, Ciudad Universitaria, Mexico D.F. C.P. 04510. E-mail: [email protected]
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Abstract

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.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 78 , Issue 3 , May 1999 , pp. 513 - 540
Copyright
1999 The London Mathematical Society

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