posted on 2019-05-17, 08:50authored byVincent Pilaud, Pierre-Guy Plamondon, Salvatore Stella
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.
Funding
The first two authors are partially supported by the French ANR grant SC3A (15 CE40 0004 01). The last author is supported by the ISF grant 1144/16.
History
Citation
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2018, 14
Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics