Two signed associahedra

H. Burgiel, V. Reiner

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The associahedron is a convex polytope whose vertices correspond to triangulations of a convex polygon. We define two signed or hyperoctahedral analogues of the associahedron, one of which is shown to be a simple convex polytope, and the other a regular CW-sphere.

Original languageEnglish (US)
Pages (from-to)83-95
Number of pages13
JournalNew York Journal of Mathematics
Volume4
StatePublished - Aug 2 1998

Keywords

  • Associahedron
  • Convex polytope
  • Coxeter groups
  • Triangulation

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