Mutating loops and 2-cycles in 2-CY triangulated categories
Representation Theory
2010-04-26 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.1004.4115,
title = {Mutating loops and 2-cycles in 2-CY triangulated categories},
author = {Marco Angel Bertani-Økland and Steffen Oppermann},
journal= {arXiv preprint arXiv:1004.4115},
year = {2010}
}