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Infinite Dimensional Representations of Canonical Algebras

Published online by Cambridge University Press:  20 November 2018

Idun Reiten  and
Claus Michael Ringel
Idun Reiten
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, 7490 Trondheim, Norway e-mail: [email protected]
Claus Michael Ringel
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, 7490 Trondheim, Norway e-mail: [email protected]
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Abstract

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The aim of this paper is to extend the structure theory for infinitely generated modules over tame hereditary algebras to the more general case of modules over concealed canonical algebras. Using tilting, we may assume that we deal with canonical algebras. The investigation is centered around the generic and the Prüfer modules, and how other modules are determined by these modules.

Keywords

16D7016D9016G2016G6016G70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 58 , Issue 1 , 01 February 2006 , pp. 180 - 224
Copyright
Copyright © Canadian Mathematical Society 2006

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