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arxiv: 1005.4364 · v1 · submitted 2010-05-24 · 🧮 math.RT

A characterization of torsion theories in the cluster category of Dynkin type A_(infty)

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keywords categoryclusterdynkininftytheoriestorsiontypearcs
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Let D be the cluster category of Dynkin type A_{\infty}. This paper provides a bijection between torsion theories in D and certain configurations of arcs connecting non-neighbouring integers.

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