Categorification of a frieze pattern determinant
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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