Bases for cluster algebras from surfaces

Gregg Musiker, Ralf Schiffler, Lauren Williams

Research output: Contribution to journalArticlepeer-review

88 Scopus citations

Abstract

We construct two bases for each cluster algebra coming from a triangulated surface without punctures. We work in the context of a coefficient system coming from a full-rank exchange matrix, such as principal coefficients.

Original languageEnglish (US)
Pages (from-to)217-263
Number of pages47
JournalCompositio Mathematica
Volume149
Issue number2
DOIs
StatePublished - Feb 2013

Keywords

  • basis
  • cluster algebra
  • triangulated surfaces

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