Cyclic Sieving for torsion pairs in the cluster category of Dynkin type A_n

Details Cyclic Sieving for torsion pairs in the cluster category of Dynkin type A_n Cyclic Sieving for torsion pairs in the cluster category of Dynkin type A_n

2011-01-05

arxiv.org/abs/1101.1020v1

Mathematics

Combinatorics

17 pages, 4 pdf-Figures

Scientific paper

Recently, a combinatorial model for torsion pairs in the cluster category of Dynkin type A_n was introduced, and used to derive an explicit formula for their number. In this article we determine the number of torsion pairs that are invariant under b-fold application of Auslander-Reiten translation. It turns out that the set of torsion pairs together with Auslander-Reiten translation, and a natural q-analogue of the formula for the number of all torsion pairs exhibits the cyclic sieving phenomenon.

Affiliated with

Also associated with

No associations

Rating

Cyclic Sieving for torsion pairs in the cluster category of Dynkin type A_n 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 Cyclic Sieving for torsion pairs in the cluster category of Dynkin type A_n, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cyclic Sieving for torsion pairs in the cluster category of Dynkin type A_n will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-267417