Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624775 | Advances in Applied Mathematics | 2013 | 23 Pages |
Abstract
We give a complete classification of torsion pairs in the cluster category of Dynkin type Dn, via a bijection to new combinatorial objects called Ptolemy diagrams of type D. For the latter we give along the way different combinatorial descriptions. One of these allows us to count the number of torsion pairs in the cluster category of type Dn by providing their generating function explicitly.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Thorsten Holm, Peter Jørgensen, Martin Rubey,