Realizing Simion's type B associahedron as a pulling triangulation of the Legendre polytope

Richard Ehrenborg; Gábor Hetyei; Margaret Readdy

Realizing Simion's type B associahedron as a pulling triangulation of the Legendre polytope

Mathematics

Producción científica: Paper › revisión exhaustiva

Resumen

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.

Idioma original	English
Estado	Published - 2006
Evento	29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom Duración: jul 9 2017 → jul 13 2017

Conference

Conference	29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017
País/Territorio	United Kingdom
Ciudad	London
Período	7/9/17 → 7/13/17

Nota bibliográfica

Publisher Copyright:
© 29th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.

Financiación

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.

Financiadores	Número del financiador
Simons Foundation	206001, 245153
National Security Agency	H98230-13-1-028

ASJC Scopus subject areas

Algebra and Number Theory

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AU - Ehrenborg, Richard

AU - Hetyei, Gábor

AU - Readdy, Margaret

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N2 - 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.

AB - 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.

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KW - Root polytope

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UR - https://www.scopus.com/pages/publications/85091906118#tab=citedBy

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T2 - 29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017

Y2 - 9 July 2017 through 13 July 2017

ER -

Realizing Simion's type B associahedron as a pulling triangulation of the Legendre polytope

Resumen

Conference

Nota bibliográfica

Financiación

ASJC Scopus subject areas

Otros archivos y enlaces

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