DOAJ Open Access 2014

On the $H$-triangle of generalised nonnesting partitions

Marko Thiel

Lihat Sumber DOI

Abstrak

With a crystallographic root system $\Phi$ , there are associated two Catalan objects, the set of nonnesting partitions $NN(\Phi)$, and the cluster complex $\Delta (\Phi)$. These possess a number of enumerative coincidences, many of which are captured in a surprising identity, first conjectured by Chapoton. We prove this conjecture, and indicate its generalisation for the Fuß-Catalan objects $NN^{(k)}(\Phi)$ and $\Delta^{(k)}(\Phi)$, conjectured by Armstrong.

Topik & Kata Kunci

Mathematics

Penulis (1)

Marko Thiel

Format Sitasi

APA MLA BibTeX

Thiel, M. (2014). On the $H$-triangle of generalised nonnesting partitions. https://doi.org/10.46298/dmtcs.2382

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2382

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2382
Akses: Open Access ✓