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  • Grabowski-Gratz-Graded-Quantum-Colimits-JPAA-final

    Rights statement: This is the author’s version of a work that was accepted for publication in Journal of Pure and Applied Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Pure and Applied Algebra, 222, (11) 2018 DOI: 10.1016/j.jpaa.2017.12.014

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Graded quantum cluster algebras of infinite rank as colimits

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Graded quantum cluster algebras of infinite rank as colimits. / Grabowski, Jan E.; Gratz, Sira.
In: Journal of Pure and Applied Algebra, Vol. 222, No. 11, 11.2018, p. 3395-3413.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Grabowski, JE & Gratz, S 2018, 'Graded quantum cluster algebras of infinite rank as colimits', Journal of Pure and Applied Algebra, vol. 222, no. 11, pp. 3395-3413. https://doi.org/10.1016/j.jpaa.2017.12.014

APA

Grabowski, J. E., & Gratz, S. (2018). Graded quantum cluster algebras of infinite rank as colimits. Journal of Pure and Applied Algebra, 222(11), 3395-3413. https://doi.org/10.1016/j.jpaa.2017.12.014

Vancouver

Grabowski JE, Gratz S. Graded quantum cluster algebras of infinite rank as colimits. Journal of Pure and Applied Algebra. 2018 Nov;222(11):3395-3413. Epub 2017 Dec 23. doi: 10.1016/j.jpaa.2017.12.014

Author

Grabowski, Jan E. ; Gratz, Sira. / Graded quantum cluster algebras of infinite rank as colimits. In: Journal of Pure and Applied Algebra. 2018 ; Vol. 222, No. 11. pp. 3395-3413.

Bibtex

@article{e6cfb50b5710488589e3ecfbbdaa4a02,
title = "Graded quantum cluster algebras of infinite rank as colimits",
abstract = "We provide a graded and quantum version of the category of rooted cluster algebras introduced by Assem, Dupont and Schiffler and show that every graded quantum cluster algebra of infinite rank can be written as a colimit of graded quantum cluster algebras of finite rank. As an application, for each k we construct a graded quantum infinite Grassmannian admitting a cluster algebra structure, extending an earlier construction of the authors for k=2.",
keywords = "math.QA, math.RT, 13F60",
author = "Grabowski, {Jan E.} and Sira Gratz",
note = "This is the author{\textquoteright}s version of a work that was accepted for publication in Journal of Pure and Applied Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Pure and Applied Algebra, 222, (11), 2018 DOI: 10.1016/j.jpaa.2017.12.014",
year = "2018",
month = nov,
doi = "10.1016/j.jpaa.2017.12.014",
language = "English",
volume = "222",
pages = "3395--3413",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Graded quantum cluster algebras of infinite rank as colimits

AU - Grabowski, Jan E.

AU - Gratz, Sira

N1 - This is the author’s version of a work that was accepted for publication in Journal of Pure and Applied Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Pure and Applied Algebra, 222, (11), 2018 DOI: 10.1016/j.jpaa.2017.12.014

PY - 2018/11

Y1 - 2018/11

N2 - We provide a graded and quantum version of the category of rooted cluster algebras introduced by Assem, Dupont and Schiffler and show that every graded quantum cluster algebra of infinite rank can be written as a colimit of graded quantum cluster algebras of finite rank. As an application, for each k we construct a graded quantum infinite Grassmannian admitting a cluster algebra structure, extending an earlier construction of the authors for k=2.

AB - We provide a graded and quantum version of the category of rooted cluster algebras introduced by Assem, Dupont and Schiffler and show that every graded quantum cluster algebra of infinite rank can be written as a colimit of graded quantum cluster algebras of finite rank. As an application, for each k we construct a graded quantum infinite Grassmannian admitting a cluster algebra structure, extending an earlier construction of the authors for k=2.

KW - math.QA

KW - math.RT

KW - 13F60

U2 - 10.1016/j.jpaa.2017.12.014

DO - 10.1016/j.jpaa.2017.12.014

M3 - Journal article

VL - 222

SP - 3395

EP - 3413

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 11

ER -