Baur, K and Marsh, RJ (2012) Categorification of a frieze pattern determinant. Journal of Combinatorial Theory, Series A, 119 (5). pp. 1110-1122. ISSN 0097-3165
Abstract
Broline, Crowe and Isaacs have computed the determinant of a matrix associated to a Conway–Coxeter frieze pattern. We generalise their result to the corresponding frieze pattern of cluster variables arising from the Fomin–Zelevinsky cluster algebra of type A. We give a representation-theoretic interpretation of this result in terms of certain configurations of indecomposable objects in the root category of type A.
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| Keywords: | Determinant; Minor; Triangulation; Polygon; Derangement; Cluster algebra; Frieze pattern; Root category; Derived category; Starting frame | ||||
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| Institution: | The University of Leeds | ||||
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) | ||||
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| Depositing User: | Symplectic Publications | ||||
| Date Deposited: | 24 Sep 2019 10:57 | ||||
| Last Modified: | 24 Sep 2019 10:57 | ||||
| Status: | Published | ||||
| Publisher: | Elsevier | ||||
| Identification Number: | https://doi.org/10.1016/j.jcta.2012.02.006 | ||||
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