Equivariant Fiber Polytopes

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

2000 Mathematics Subject Classification: 52B12, 52B15

Keywords and Phrases: fiber polytope, associahedron, cyclohedron, equivariant

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