Polytopal realizations of non-crystallographic associahedra


Felikson A., Tumarkin P., Yıldırım E.

Algebraic Combinatorics, vol.8, no.1, pp.17-28, 2025 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.5802/alco.402
  • Journal Name: Algebraic Combinatorics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.17-28
  • Keywords: g-vector fan, generalized associahedron, unfolding
  • Galatasaray University Affiliated: Yes

Abstract

We use the folding technique to show that generalized associahedra for non-simply-laced root systems (including non-crystallographic ones) can be obtained as sections of simply-laced generalized associahedra constructed by Bazier-Matte, Chapelier-Laget, Douville, Mousavand, Thomas and Yıldırım.