Grothendieck group and generalized mutation rule for 2-Calabi-Yau triangulated categories |
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| Authors: | Yann Palu |
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| Affiliation: | Université Paris 7 - Denis Diderot, UMR 7586 du CNRS, case 7012, 2 place Jussieu, 75251 Paris Cedex 05, France |
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| Abstract: | We compute the Grothendieck group of certain 2-Calabi-Yau triangulated categories appearing naturally in the study of the link between quiver representations and Fomin-Zelevinsky cluster algebras. In this setup, we also prove a generalization of the Fomin-Zelevinsky mutation rule. |
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| Keywords: | Primary, 18E30, 16E20, 16G20 secondary, 16G70 |
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