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

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

2010-04-23

arxiv.org/abs/1004.4115v1

Mathematics

Representation Theory

Scientific paper

We derive an algorithm 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 form a
class of algebras that satisfy the setup for our mutation algorithm.

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