Abstract
The (m, n)-multiplihedron is a polytope whose faces correspond to m-painted n-trees. Deleting certain inequalities from its facet description, we obtain the (m, n)Hochschild polytope whose faces correspond to m-lighted n-shades. Moreover, there is a natural shadow map from m-painted n-trees to m-lighted n-shades, which defines a meet semilattice morphism of rotation lattices. In particular, when m = 1, our Hochschild polytope is a deformed permutahedron realizing the Hochschild lattice.
| Original language | English |
|---|---|
| Article number | 1 |
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Seminaire Lotharingien de Combinatoire |
| Issue number | 91 |
| Publication status | Published - 1 Jan 2024 |
| Externally published | Yes |
Keywords
- Freehedron
- Hochschild lattice
- Multiplihedron
- Quotient