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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

4 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Numéro d'article	045
journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	14
Les DOIs	https://doi.org/10.3842/SIGMA.2018.045
état	Publié - 1 janv. 2018

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10.3842/SIGMA.2018.045

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@article{12d7b0a5a4864659905458e0654ee7c2,

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",

author = "Vincent Pilaud and Plamondon, \{Pierre Guy\} and Salvatore Stella",

year = "2018",

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doi = "10.3842/SIGMA.2018.045",

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journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

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T1 - A τ-tilting approach to dissections of polygons

AU - Pilaud, Vincent

AU - Plamondon, Pierre Guy

AU - Stella, Salvatore

PY - 2018/1/1

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N2 - 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.

AB - 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.

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

SN - 1815-0659

VL - 14

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

Résumé

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