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FRIEZES, STRINGS AND CLUSTER VARIABLES

Published online by Cambridge University Press:  02 August 2011

IBRAHIM ASSEM ,
GRÉGOIRE DUPONT ,
RALF SCHIFFLER  and
DAVID SMITH
IBRAHIM ASSEM
Affiliation:
Université de Sherbrooke, Sherbrooke QC, Canada E-mail: ibrahim.assem@usherbrooke.ca
GRÉGOIRE DUPONT
Affiliation:
Université de Sherbrooke, Sherbrooke QC, Canada E-mail: gregoire.dupont@usherbrooke.ca
RALF SCHIFFLER
Affiliation:
University of Connecticut, Storrs CT, USA E-mail: schiffler@math.uconn.edu
DAVID SMITH
Affiliation:
University Bishop's, Sherbrooke QC, Canada E-mail: dsmith@ubishops.ca
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Abstract

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To any walk in a quiver, we associate a Laurent polynomial. When the walk is the string of a string module over a 2-Calabi–Yau tilted algebra, we prove that this Laurent polynomial coincides with the corresponding cluster character of the string module up to an explicit normalising monomial factor.

Keywords

13F6016G20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 1 , January 2012 , pp. 27 - 60
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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