Special folding of quivers and cluster algebras

Department of Mathematical Sciences

Special folding of quivers and cluster algebras

Research output: Contribution to journal › Journal article › Research › peer-review

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Special folding of quivers and cluster algebras. / Kaufman, Dani.

In: Mathematica Scandinavica, Vol. 130, No. 2, 2024, p. 237-256.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Kaufman, D 2024, 'Special folding of quivers and cluster algebras', Mathematica Scandinavica, vol. 130, no. 2, pp. 237-256. https://doi.org/10.7146/math.scand.a-143446

APA

Kaufman, D. (2024). Special folding of quivers and cluster algebras. Mathematica Scandinavica, 130(2), 237-256. https://doi.org/10.7146/math.scand.a-143446

Vancouver

Kaufman D. Special folding of quivers and cluster algebras. Mathematica Scandinavica. 2024;130(2):237-256. https://doi.org/10.7146/math.scand.a-143446

Author

Kaufman, Dani. / Special folding of quivers and cluster algebras. In: Mathematica Scandinavica. 2024 ; Vol. 130, No. 2. pp. 237-256.

Bibtex

@article{8b77a7feeed8496eb6ca9fafbbdb1af5,

title = "Special folding of quivers and cluster algebras",

abstract = "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.",

author = "Dani Kaufman",

year = "2024",

doi = "10.7146/math.scand.a-143446",

language = "English",

volume = "130",

pages = "237--256",

journal = "Mathematica Scandinavica",

issn = "0025-5521",

publisher = "Aarhus Universitet * Mathematica Scandinavica",

number = "2",

}

RIS

TY - JOUR

T1 - Special folding of quivers and cluster algebras

AU - Kaufman, Dani

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