DOAJ
Open Access
2015
A combinatorial model for exceptional sequences in type A
Alexander Garver
Jacob P. Matherne
Abstrak
Exceptional sequences are certain ordered sequences of quiver representations. We use noncrossing edge-labeled trees in a disk with boundary vertices (expanding on T. Araya’s work) to classify exceptional sequences of representations of $Q$, the linearly ordered quiver with $n$ vertices. We also show how to use variations of this model to classify $c$-matrices of $Q$, to interpret exceptional sequences as linear extensions, and to give a simple bijection between exceptional sequences and certain chains in the lattice of noncrossing partitions. In the case of $c$-matrices, we also give an interpretation of $c$-matrix mutation in terms of our noncrossing trees with directed edges.
Topik & Kata Kunci
Penulis (2)
A
Alexander Garver
J
Jacob P. Matherne
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2015
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.2513
- Akses
- Open Access ✓