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FRIEZES, STRINGS AND CLUSTER VARIABLES

Published online by Cambridge University Press:  02 August 2011

IBRAHIM ASSEM
Affiliation:
Université de Sherbrooke, Sherbrooke QC, Canada E-mail: [email protected]
GRÉGOIRE DUPONT
Affiliation:
Université de Sherbrooke, Sherbrooke QC, Canada E-mail: [email protected]
RALF SCHIFFLER
Affiliation:
University of Connecticut, Storrs CT, USA E-mail: [email protected]
DAVID SMITH
Affiliation:
University Bishop's, Sherbrooke QC, Canada E-mail: [email protected]
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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

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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