A τ-tilting approach to dissections of polygons

Vincent Pilaud; Pierre Guy Plamondon; Salvatore Stella

doi:10.3842/SIGMA.2018.045

A τ-tilting approach to dissections of polygons

Vincent Pilaud
, Pierre Guy Plamondon
, Salvatore Stella

Université Paris-Saclay
University of Haifa

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support τ-tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support τ-tilting simplicial complexes of finite dimensional algebras.

Original language	English
Article number	045
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	14
DOIs	https://doi.org/10.3842/SIGMA.2018.045
Publication status	Published - 1 Jan 2018

Keywords

Accordion complexes
Dissections of polygons
G-vectors
Representations of finite dimensional algebras
τ-tilting theory

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10.3842/SIGMA.2018.045

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title = "A τ-tilting approach to dissections of polygons",

abstract = "We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support τ-tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support τ-tilting simplicial complexes of finite dimensional algebras.",

keywords = "Accordion complexes, Dissections of polygons, G-vectors, Representations of finite dimensional algebras, τ-tilting theory",

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AU - Plamondon, Pierre Guy

AU - Stella, Salvatore

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KW - Accordion complexes

KW - Dissections of polygons

KW - G-vectors

KW - Representations of finite dimensional algebras

KW - τ-tilting theory

U2 - 10.3842/SIGMA.2018.045

DO - 10.3842/SIGMA.2018.045

M3 - Article

AN - SCOPUS:85048285066

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 045

ER -

A τ-tilting approach to dissections of polygons

Abstract

Keywords

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