Semantic Scholar Open Access 2010 37 sitasi

Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type An

T. Holm Peter Jørgensen Martin Rubey

Lihat Sumber DOI

Abstrak

We give a complete classification of torsion pairs in the cluster category of Dynkin type An. Along the way we give a new combinatorial description of Ptolemy diagrams, an infinite version of which was introduced by Ng (1005.4364v1 [math.RT], 2010). This allows us to count the number of torsion pairs in the cluster category of type An. We also count torsion pairs up to Auslander–Reiten translation.

Topik & Kata Kunci

Mathematics

Penulis (3)

T. Holm

Peter Jørgensen

Martin Rubey

Format Sitasi

APA MLA BibTeX

Holm, T., Jørgensen, P., Rubey, M. (2010). Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type An. https://doi.org/10.1007/S10801-011-0280-X

Akses Cepat

Lihat di Sumber doi.org/10.1007/S10801-011-0280-X

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Total Sitasi: 37×
Sumber Database: Semantic Scholar
DOI: 10.1007/S10801-011-0280-X
Akses: Open Access ✓