Hopf monoids and generalized permutahedra
Author(s)
Bibliographic Information
Hopf monoids and generalized permutahedra
（Memoirs of the American Mathematical Society, no. 1437）
American Mathematical Society, c2023
Available at / 3 libraries
-
No Libraries matched.
- Remove all filters.
Note
"September 2023, volume 289, number 1437 (third of 6 numbers)"
Includes bibliographical references (p. 115-119)
Description and Table of Contents
Description
Generalized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology, and optimization. They possess a rich combinatorial structure. Out of this structure we build a Hopf monoid in the category of species.
Species provide a unifying framework for organizing families of combinatorial objects. Many species carry a Hopf monoid structure and are related to generalized permutahedra by means of morphisms of Hopf monoids. This includes the species of graphs, matroids, posets, set partitions, linear graphs, hypergraphs, simplicial complexes, and building sets, among others. We employ this algebraic structure to define and study polynomial invariants of the various combinatorial structures.
by "Nielsen BookData"