Universal derived equivalences of posets of cluster tilting objects

Details Universal derived equivalences of posets of cluster tilting objects Universal derived equivalences of posets of cluster tilting objects

2007-10-15

arxiv.org/abs/0710.2860v1

Mathematics

Representation Theory

11 pages

Scientific paper

We show that for two quivers without oriented cycles related by a BGP reflection, the posets of their cluster tilting objects are related by a simple combinatorial construction, which we call a flip-flop. We deduce that the posets of cluster tilting objects of derived equivalent path algebras of quivers without oriented cycles are universally derived equivalent. In particular, all Cambrian lattices corresponding to the various orientations of the same Dynkin diagram are universally derived equivalent.

Affiliated with

Also associated with

No associations

Rating

Universal derived equivalences of posets of cluster tilting objects 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 Universal derived equivalences of posets of cluster tilting objects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal derived equivalences of posets of cluster tilting objects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-127268