Cluster tilting objects in generalized higher cluster categories

Details Cluster tilting objects in generalized higher cluster categories Cluster tilting objects in generalized higher cluster categories

2010-05-19

arxiv.org/abs/1005.3564v2

Mathematics

Representation Theory

27 pages

Scientific paper

We prove the existence of an $m$-cluster tilting object in a generalized $m$-cluster category which is $(m+1)$-Calabi-Yau and Hom-finite, arising from an $(m+2)$-Calabi-Yau dg algebra. This is a generalization of the result for the ${m = 1}$ case in Amiot's Ph.~D.~thesis. Our results apply in particular to higher cluster categories associated to suitable finite-dimensional algebras of finite global dimension, and higher cluster categories associated to Ginzburg dg categories coming from suitable graded quivers with superpotential.

Affiliated with

Also associated with

No associations

Rating

Cluster tilting objects in generalized higher cluster categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cluster tilting objects in generalized higher cluster categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cluster tilting objects in generalized higher cluster categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-208792