2023/05/15 by Vincent Pilaud, Francisco Santos, Pilaud, Vincent +3 · 1 voice · 4 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Advanced Topics in Algebra
paper · pdf · doi:10.1007/s00013-023-01895-6
Abstract We survey Jean-Louis Loday’s vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry, and algebra. We present in particular four topics where it plays a central role: lattice congruences of the weak order and their quotientopes, cluster algebras and their generalized associahedra, nested complexes and their nestohedra, and operads and the associahedron diagonal.