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)|
|Number of pages||20|
|State||Published - Dec 1 2002|
- Fiber polytope