Bases for cluster algebras from surfaces

Gregg Musiker; Ralf Schiffler; Lauren Williams

doi:10.1112/S0010437X12000450

Bases for cluster algebras from surfaces

Gregg Musiker
, Ralf Schiffler
, Lauren Williams

School of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	217-263
Number of pages	47
Journal	Compositio Mathematica
Volume	149
Issue number	2
DOIs	https://doi.org/10.1112/S0010437X12000450
State	Published - Feb 2013

Keywords

basis
cluster algebra
triangulated surfaces

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10.1112/S0010437X12000450

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title = "Bases for cluster algebras from surfaces",

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.",

keywords = "basis, cluster algebra, triangulated surfaces",

author = "Gregg Musiker and Ralf Schiffler and Lauren Williams",

year = "2013",

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language = "English (US)",

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KW - cluster algebra

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Bases for cluster algebras from surfaces

Abstract

Keywords

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