Vertex barycenter of generalized associahedra
Vincent Pilaud, Christian Stump
TL;DR
This paper proves that the vertex barycenter of generalized associahedra and permutahedra are the same for any finite Coxeter system, revealing a fundamental geometric coincidence.
Contribution
It establishes a universal geometric property linking generalized associahedra and permutahedra across all finite Coxeter systems.
Findings
Vertex barycenters of generalized associahedra and permutahedra coincide
The result holds for any finite Coxeter system
Provides a new geometric insight into Coxeter group polytopes
Abstract
We show that the vertex barycenter of generalized associahedra and permutahedra coincide for any finite Coxeter system.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Finite Group Theory Research