Double-partition Quantum Cluster Algebras

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Standard

Double-partition Quantum Cluster Algebras. / Jakobsen, Hans Plesner; Zhang, Hechun.

In: Journal of Algebra, Vol. 372, 2012, p. 172-203.

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

Harvard

Jakobsen, HP & Zhang, H 2012, 'Double-partition Quantum Cluster Algebras', Journal of Algebra, vol. 372, pp. 172-203. https://doi.org/10.1016/j.jalgebra.2012.09.015

APA

Jakobsen, H. P., & Zhang, H. (2012). Double-partition Quantum Cluster Algebras. Journal of Algebra, 372, 172-203. https://doi.org/10.1016/j.jalgebra.2012.09.015

Vancouver

Jakobsen HP, Zhang H. Double-partition Quantum Cluster Algebras. Journal of Algebra. 2012;372:172-203. https://doi.org/10.1016/j.jalgebra.2012.09.015

Author

Jakobsen, Hans Plesner ; Zhang, Hechun. / Double-partition Quantum Cluster Algebras. In: Journal of Algebra. 2012 ; Vol. 372. pp. 172-203.

Bibtex

@article{a7ca943e95c84454a345926744c88463,
title = "Double-partition Quantum Cluster Algebras",
abstract = "A family of quantum cluster algebras is introduced and studied. In general, these algebras are new, but sub-classes have been studied previously by other authors. The algebras are indexed by double parti- tions or double flag varieties. Equivalently, they are indexed by broken lines L. By grouping together neighboring mutations into quantum line mutations we can mutate from the cluster algebra of one broken line to another. Compatible pairs can be written down. The algebras are equal to their upper cluster algebras. The variables of the quantum seeds are given by elements of the dual canonical basis.",
author = "Jakobsen, {Hans Plesner} and Hechun Zhang",
year = "2012",
doi = "10.1016/j.jalgebra.2012.09.015",
language = "English",
volume = "372",
pages = "172--203",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - Double-partition Quantum Cluster Algebras

AU - Jakobsen, Hans Plesner

AU - Zhang, Hechun

PY - 2012

Y1 - 2012

N2 - A family of quantum cluster algebras is introduced and studied. In general, these algebras are new, but sub-classes have been studied previously by other authors. The algebras are indexed by double parti- tions or double flag varieties. Equivalently, they are indexed by broken lines L. By grouping together neighboring mutations into quantum line mutations we can mutate from the cluster algebra of one broken line to another. Compatible pairs can be written down. The algebras are equal to their upper cluster algebras. The variables of the quantum seeds are given by elements of the dual canonical basis.

AB - A family of quantum cluster algebras is introduced and studied. In general, these algebras are new, but sub-classes have been studied previously by other authors. The algebras are indexed by double parti- tions or double flag varieties. Equivalently, they are indexed by broken lines L. By grouping together neighboring mutations into quantum line mutations we can mutate from the cluster algebra of one broken line to another. Compatible pairs can be written down. The algebras are equal to their upper cluster algebras. The variables of the quantum seeds are given by elements of the dual canonical basis.

U2 - 10.1016/j.jalgebra.2012.09.015

DO - 10.1016/j.jalgebra.2012.09.015

M3 - Journal article

VL - 372

SP - 172

EP - 203

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 44050463