Abstract
We show that Simion's type B associahedron is combinatorially equivalent to a pulling triangulation of a type B root polytope called the Legendre polytope. Furthermore, we show that every pulling triangulation of the Legendre polytope yields a flag complex. Our triangulation refines a decomposition of the Legendre polytope given by Cho. We extend Cho's cyclic group action to the triangulation in such a way that it corresponds to rotating centrally symmetric triangulations of a regular (2n + 2)-gon.
| Original language | English |
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| State | Published - 2006 |
| Event | 29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom Duration: Jul 9 2017 → Jul 13 2017 |
Conference
| Conference | 29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 |
|---|---|
| Country/Territory | United Kingdom |
| City | London |
| Period | 7/9/17 → 7/13/17 |
Bibliographical note
Publisher Copyright:© 29th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.
Funding
The first author was partially funded by the National Security Agency grant H98230-13-1-028. This work was partially supported by two grants from the Simons Foundation (#245153 to Gábor Hetyei and #206001 to Margaret Readdy). The authors thank the Princeton University Mathematics Department where this research was initiated, and two anonymous referees for many insightful comments.
| Funders | Funder number |
|---|---|
| Simons Foundation | 206001, 245153 |
| National Security Agency | H98230-13-1-028 |
Keywords
- Associahedron
- Root polytope
- Type B
ASJC Scopus subject areas
- Algebra and Number Theory