A τ-Tilting Approach to Dissections of Polygons

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Pilaud, V., Plamondon, P.-G., Stella, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209527
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A τ-Tilting Approach to Dissections of Polygons / V. Pilaud, P.-G. Plamondon, S. Stella // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 16 назв. — англ.

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-dim...