Special folding of quivers and cluster algebras
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Special folding of quivers and cluster algebras. / Kaufman, Dani.
I: Mathematica Scandinavica, Bind 130, Nr. 2, 2024, s. 237-256.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Special folding of quivers and cluster algebras
AU - Kaufman, Dani
N1 - Publisher Copyright: © 2024 Mathematica Scandinavica. All rights reserved.
PY - 2024
Y1 - 2024
N2 - We give a precise definition of folded quivers and folded cluster algebras. We define a special folding of a quiver as one which cannot be associated with a skew-symmetrizable exchange matrix.We give many examples of including some with finite mutation structure that do not have analogues in the unfolded cases.We relate these examples to the finite mutation type quivers X6 and X7.We also construct a folded cluster algebra associated to punctured surfaces which allow for self-folded triangles. We give a simple construction of a folded cluster algebra for which the cluster complex is a generalized permutohedron.
AB - We give a precise definition of folded quivers and folded cluster algebras. We define a special folding of a quiver as one which cannot be associated with a skew-symmetrizable exchange matrix.We give many examples of including some with finite mutation structure that do not have analogues in the unfolded cases.We relate these examples to the finite mutation type quivers X6 and X7.We also construct a folded cluster algebra associated to punctured surfaces which allow for self-folded triangles. We give a simple construction of a folded cluster algebra for which the cluster complex is a generalized permutohedron.
U2 - 10.7146/math.scand.a-143446
DO - 10.7146/math.scand.a-143446
M3 - Journal article
AN - SCOPUS:85195632412
VL - 130
SP - 237
EP - 256
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
SN - 0025-5521
IS - 2
ER -
ID: 395146619