DOAJ Open Access 2020

Cataland: Why the Fuss?

Christian Stump Hugh Thomas Nathan Williams

Lihat Sumber DOI

Abstrak

The main objects of noncrossing Catalan combinatorics associated to a finite Coxeter system are noncross- ing partitions, sortable elements, and cluster complexes. The first and the third of these have known Fuss–Catalan generalizations. We provide new viewpoints for these, introduce a corresponding generalization of sortable elements as elements in the positive Artin monoid, and show how this perspective ties together all three generalizations.

Topik & Kata Kunci

Mathematics

Penulis (3)

Christian Stump

Hugh Thomas

Nathan Williams

Format Sitasi

APA MLA BibTeX

Stump, C., Thomas, H., Williams, N. (2020). Cataland: Why the Fuss?. https://doi.org/10.46298/dmtcs.6351

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6351

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6351
Akses: Open Access ✓