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Coloured quiver mutation for higher cluster categories |
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| Authors: | Aslak Bakke Buan Hugh Thomas |
| Affiliation: | a Institutt for Matematiske Fag, Norges Teknisk-Naturvitenskapelige Universitet, Alfred Getz vei 1, N-7491 Trondheim, Norway b Department of Mathematics and Statistics, University of New Brunswick, Fredericton NB, E3B 1J4, Canada |
| Abstract: | We define mutation on coloured quivers associated to tilting objects in higher cluster categories. We show that this operation is compatible with the mutation operation on the tilting objects. This gives a combinatorial approach to tilting in higher cluster categories and especially an algorithm to determine the Gabriel quivers of tilting objects in such categories. |
| Keywords: | Cluster algebras Quiver mutation Cluster categories Calabi-Yau categories Tilting |
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