This paper shows the polytopality of any finite type g-vector fan, acyclic or not. In fact, for any finite Dynkin type Γ, we construct a universal associahedron Asso_un (Γ) with the property that any g-vector fan of type Γ is the normal fan of a suitable projection of Asso_un (Γ).

Polytopal realizations of finite type g-vector fans / Hohlweg, C.; Pilaud, V.; Stella, S.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 328:(2018), pp. 713-749. [10.1016/j.aim.2018.01.019]

Polytopal realizations of finite type g-vector fans

Hohlweg C.;Stella S.
2018

Abstract

This paper shows the polytopality of any finite type g-vector fan, acyclic or not. In fact, for any finite Dynkin type Γ, we construct a universal associahedron Asso_un (Γ) with the property that any g-vector fan of type Γ is the normal fan of a suitable projection of Asso_un (Γ).
2018
generalized associahedra
01 Pubblicazione su rivista::01a Articolo in rivista
Polytopal realizations of finite type g-vector fans / Hohlweg, C.; Pilaud, V.; Stella, S.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 328:(2018), pp. 713-749. [10.1016/j.aim.2018.01.019]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1411077
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