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Mutation in triangulated categories and rigid Cohen-Macaulay modules

Osamu Iyama·Yuji Yoshino
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Abstract

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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Osamu Iyama, Yuji Yoshino. 2006-07-28. Mutation in triangulated categories and rigid Cohen-Macaulay modules. https://doi.org/10.1007/s00222-007-0096-4

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