Celebrating Loday's Associahedron - Archive ouverte HAL
Article Dans Une Revue Archiv der Mathematik Année : 2023

Celebrating Loday's Associahedron

Résumé

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 were 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.

Dates et versions

hal-04288103 , version 1 (15-11-2023)

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Citer

Vincent Pilaud, Francisco Santos, Günter M. Ziegler. Celebrating Loday's Associahedron. Archiv der Mathematik, 2023, ⟨10.1007/s00013-023-01895-6⟩. ⟨hal-04288103⟩
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