2005/01/28 by Thomas Brady, Thomas A. Brady, Brady, Thomas +2
Computer Science · Mathematics · #20F55 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Topological and Geometric Data Analysis #math.CO #math.GR #msc:20F55
paper · pdf · doi:10.48550/arxiv.math/0501502
29 pages, 3 figures
arxiv created 2005/01/28 · openalex publication_date 2005/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a finite real reflection group W with Coxeter element γ we give a uniform proof that the closed interval, [I, γ] forms a lattice in the partial order on W induced by reflection length. The proof involves the construction of a simplicial complex which can be embedded in the type W simplicial generalised associahedron.