FRIEZES, STRINGS AND CLUSTER VARIABLES
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 27-60
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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.
ASSEM, IBRAHIM; DUPONT, GRÉGOIRE; SCHIFFLER, RALF; SMITH, DAVID. FRIEZES, STRINGS AND CLUSTER VARIABLES. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 27-60. doi: 10.1017/S0017089511000322
@article{10_1017_S0017089511000322,
author = {ASSEM, IBRAHIM and DUPONT, GR\'EGOIRE and SCHIFFLER, RALF and SMITH, DAVID},
title = {FRIEZES, {STRINGS} {AND} {CLUSTER} {VARIABLES}},
journal = {Glasgow mathematical journal},
pages = {27--60},
year = {2012},
volume = {54},
number = {1},
doi = {10.1017/S0017089511000322},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000322/}
}
TY - JOUR AU - ASSEM, IBRAHIM AU - DUPONT, GRÉGOIRE AU - SCHIFFLER, RALF AU - SMITH, DAVID TI - FRIEZES, STRINGS AND CLUSTER VARIABLES JO - Glasgow mathematical journal PY - 2012 SP - 27 EP - 60 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000322/ DO - 10.1017/S0017089511000322 ID - 10_1017_S0017089511000322 ER -
%0 Journal Article %A ASSEM, IBRAHIM %A DUPONT, GRÉGOIRE %A SCHIFFLER, RALF %A SMITH, DAVID %T FRIEZES, STRINGS AND CLUSTER VARIABLES %J Glasgow mathematical journal %D 2012 %P 27-60 %V 54 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000322/ %R 10.1017/S0017089511000322 %F 10_1017_S0017089511000322
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