Equivariant fiber polytopes

Victor S Reiner

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

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 languageEnglish (US)
Pages (from-to)113-132
Number of pages20
JournalDocumenta Mathematica
Volume7
Issue number1
StatePublished - Dec 1 2002

Keywords

  • Associahedron
  • Cyclohedron
  • Equivariant
  • Fiber polytope

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