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.
A τ-tilting approach to dissections of polygons / Pilaud, V.; Plamondon, P. -G.; Stella, S.. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - 14:(2018). [10.3842/SIGMA.2018.045]
A τ-tilting approach to dissections of polygons
Stella S.
2018
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.File allegati a questo prodotto
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