Hopf monoids and generalized permutahedra
Auteur :
Aguiar, Marcelo / Ardila, Federico
Éditeur :
American Mathematical Society
ISBN :
9781470467081
Date de publication :
30 sept. 2023
Dimensions :
25,4 x 17,8 cm
Langue :
Anglais
Pays d'origine :
USA
Generalized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology, and optimization. They possess a rich combinatorial structure, from which we build a Hopf monoid in the category of species. We employ this structure to define and study polynomial invariants of various combinatorial structures.