2002/02/01 by Frederic Chapoton, Sergey Fomin, Chapoton, Frederic +3 · 2 citations
Mathematics · #05E15 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.CO #math.QA #math.RT #msc:05E15
paper · pdf · doi:10.48550/arxiv.math/0202004
25 pages
arxiv created 2002/02/01 · arxiv updated 2009/11/30
In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a generalized associahedron of the corresponding type). Here we prove this conjecture by explicitly exhibiting a family of such polytopal realizations.