Abstract
The equivariant generalization of Billera and Sturmfels' fiber polytope construction is described. This gives a new relation between the associahedron and cyclohedron, a different natural construction for the type B permutohedron, and leads to a family of order-preserving maps between the face lattice of the type B permutohedron and that of the cyclohedron.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 113-132 |
| Number of pages | 20 |
| Journal | Documenta Mathematica |
| Volume | 7 |
| Issue number | 1 |
| State | Published - 2002 |
Keywords
- Associahedron
- Cyclohedron
- Equivariant
- Fiber polytope