Grothendieck Group and Generalized Mutation Rule for 2-Calabi--Yau Triangulated Categories
Grothendieck Group and Generalized Mutation Rule for 2-Calabi--Yau Triangulated Categories
复制标题
DOI：
10.1016/j.jpaa.2008.12.012
复制
发表时间：
2008-03
影响因子：
0.8
通讯作者：
Yann Palu
中科院分区：
文献类型：
--
作者：
Yann Palu
我们计算的Grothendieck群的某些2-Calabi-Yau三角范畴自然出现在研究之间的联系，表示和Fomin-Zelevinsky集群代数。在此设置中，我们还证明了一个推广的Fomin-Zelevinsky突变规则。
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.