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Date
2010-08-31Type
- Working Paper
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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. Show more
Publication status
publishedExternal links
Journal / series
arXivPages / Article No.
Publisher
Cornell UniversitySubject
Determinant; Minor; Triangulation; Polygon; Permutation; Derangement; Cluster algebra; Frieze pattern; Exchange relation; Plücker relation; Root category; Derived category; Configuration; Starting frame; Ending frame; Quiver representationOrganisational unit
03771 - Baur, Karin (SNF-Professur)03500 - Lang, Urs / Lang, Urs
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