The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces

The generalized cluster complex was introduced by Fomin and Reading as a natural extension of the Fomin-Zelevinsky cluster complex coming from finite type cluster algebras. In this work, to each face of this complex, we associate a parabolic conjugacy class of the underlying finite Coxeter group. We...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Authors: Douvropoulos, Theo, Josuat-Vergès, Matthieu
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212015
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces. Theo Douvropoulos and Matthieu Josuat-Vergès. SIGMA 19 (2023), 069, 40 pages

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine