Categorification of a frieze pattern determinant |
| |
Authors: | Karin Baur Robert J Marsh |
| |
Institution: | 1. Institut für Mathematik und Wissenschaftliches Rechnen, Universität Graz, Heinrichstrasse 36, A-8010 Graz, Austria;2. School of Mathematics, University of Leeds, Leeds LS2 9JT, England, United Kingdom |
| |
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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|