arXiv Analytics

Sign in

arXiv:0906.0761 [math.RT]AbstractReferencesReviewsResources

Derived equivalences from mutations of quivers with potential

Bernhard Keller, Dong Yang

Published 2009-06-03, updated 2009-12-02Version 3

We show that Derksen-Weyman-Zelevinsky's mutations of quivers with potential yield equivalences of suitable 3-Calabi-Yau triangulated categories. Our approach is related to that of Iyama-Reiten and Koszul dual to that of Kontsevich-Soibelman. It improves on previous work by Vitoria. In the appendix, the first-named author studies pseudo-compact derived categories of certain pseudo-compact dg algebras.

Comments: section 2.16 added, 48 pages, with an appendix by B. Keller
Categories: math.RT, math.RA
Subjects: 18E30
Related articles: Most relevant | Search more
arXiv:2309.10585 [math.RT] (Published 2023-09-19)
Transfer of derived equivalences from subalgebras to endomorphism algebras II
arXiv:2310.04012 [math.RT] (Published 2023-10-06)
Self-injective algebras under derived equivalences
arXiv:0911.5137 [math.RT] (Published 2009-11-26, updated 2012-04-09)
On derived equivalences of lines, rectangles and triangles

Links

Toolbox