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Infinite dimensional representations of canonical algebras

2002/06/19 by Idun Reiten, Reiten, Idun, Claus Michael Ringel +1
Mathematics · #16D70 #16D90 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16D70 #msc:16D90

paper · pdf · doi:10.48550/arxiv.math/0206195

29 pages

arxiv created 2002/06/19 · arxiv updated 2009/11/30

Abstract

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.

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