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arXiv:1004.4115 [math.RT]AbstractReferencesReviewsResources

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

Marco Angel Bertani-Økland, Steffen Oppermann

Published 2010-04-23Version 1

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.

Categories: math.RT, math.RA
Subjects: 16G20, 18E30, 16G70
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