Hereditary uniserial categories with serre duality

Adam Christiaan Van Roosmalen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


An abelian Krull-Schmidt category is said to be uniserial if the isomorphism classes of subobjects of a given indecomposable object form a linearly ordered poset. In this paper, we classify the hereditary uniserial categories with Serre duality. They fall into two types: the first type is given by the representations of the quiver An with linear orientation (and infinite variants thereof), the second type by tubes (and an infinite variant). These last categories give a new class of hereditary categories with Serre duality, called big tubes.

Original languageEnglish
Pages (from-to)1291-1322
Number of pages32
JournalAlgebras and Representation Theory
Issue number6
Publication statusPublished - Dec 2012
Externally publishedYes


  • Hereditary categories
  • Serre duality


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