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arXiv:1001.4765 [math.RT]AbstractReferencesReviewsResources

Perverse equivalences, BB-tilting, mutations and applications

Sefi Ladkani

Published 2010-01-26Version 1

We relate the notions of BB-tilting and perverse derived equivalence at a vertex. Based on these notions, we define mutations of algebras, leading to derived equivalent ones. We present applications to endomorphism algebras of cluster-tilting objects in 2-Calabi-Yau categories and to algebras of global dimension at most 2.

Comments: 26 pages
Categories: math.RT, math.RA
Subjects: 16E35, 18E30, 16S50, 16G20, 16E20
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