Equivariant fiber polytopes
Summary: The equivariant generalization of Billera and Sturmfels' fiber polytope construction is described [\textit{L. J. Billera} and \textit{B. Sturmfels}, Ann. Math. (2) 135, 527--549 (1992; Zbl 0762.52003)]. 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.
scientific article; zbMATH DE number 1748376