Equivariant fiber polytopes
type: Item
instance of: scholarly article
title: Equivariant fiber polytopes
zbMATH Open document ID: 1141.52309
author: Victor Reiner
published in: Documenta Mathematica
publication date: 2002-06-03T00:00:00Z
full work available at URL: https://eudml.org/doc/129104
full work available at URL: 05.html
review text: 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.
Mathematics Subject Classification ID: 52B05
Mathematics Subject Classification ID: 52B12
zbMATH DE Number: 1748376
zbMATH Keywords: associahedron
zbMATH Keywords: cyclohedron
zbMATH Keywords: equivariant
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1748376