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arxiv: math/0607736 · v3 · pith:WWTLXUDInew · submitted 2006-07-28 · 🧮 math.RT · math.AC

Mutation in triangulated categories and rigid Cohen-Macaulay modules

classification 🧮 math.RT math.AC
keywords cohen-macaulaymodulesmutationrigidtriangulatedableauslander-reiten-serrecategories
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We introduce the notion of mutation of $n$-cluster tilting subcategories in a triangulated category with Auslander-Reiten-Serre duality. Using this idea, we are able to obtain the complete classifications of rigid Cohen-Macaulay modules over certain Veronese subrings.

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