Mutating loops and 2-cycles in 2-CY triangulated categories

作者：Bertani Okland Marco Angel^*; Oppermann Steffen

来源：Journal of Algebra, 2011, 334(1): 195-218.

DOI：10.1016/j.jalgebra.2011.03.005

• 2-Calabi-Yau triangulated category
• Mutation
• Loop
• Cluster-tilting object
• 2-Calabi-Yau tilted algebra

We derive a method for mutating quivers of 2-CY tilted algebras that have loops and 2-cycles, under certain specific conditions. Further, we give the classification of the 2-CY tilted algebras coming from standard algebraic 2-CY triangulated categories with a finite number of indecomposables. These algebras satisfy the setup for our method of mutation.

• 出版日期2011-5-15