DOAJ Open Access 2012

Generalized associahedra via brick polytopes

Vincent Pilaud Christian Stump

Lihat Sumber DOI

Abstrak

We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. This construction provides polytopal realizations for a certain class of subword complexes containing all cluster complexes of finite types. For the latter, the brick polytopes turn out to coincide with the known realizations of generalized associahedra, thus opening new perspectives on these constructions. This new approach yields in particular the vertex description and a relevant Minkowski sum decomposition of generalized associahedra.

Topik & Kata Kunci

Mathematics

Penulis (2)

Vincent Pilaud

Christian Stump

Format Sitasi

APA MLA BibTeX

Pilaud, V., Stump, C. (2012). Generalized associahedra via brick polytopes. https://doi.org/10.46298/dmtcs.3021

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3021

Informasi Jurnal

Tahun Terbit: 2012
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3021
Akses: Open Access ✓