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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 045, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.045 (Mi sigma1344) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A $\tau$-Tilting Approach to Dissections of Polygons

Vincent Pilauda, Pierre-Guy Plamondonb, Salvatore Stellac

a CNRS & LIX, École Polytechnique, Palaiseau, France
b Laboratoire de Mathématiques d'Orsay, Université Paris-Sud, CNRS, Université Paris-Saclay, France
c University of Haifa, Israel
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DOI: https://doi.org/10.3842/SIGMA.2018.045
Abstract: We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support $\tau$-tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support $\tau$-tilting simplicial complexes of finite dimensional algebras.
Keywords: dissections of polygons; accordion complexes; $\tau$-tilting theory; representations of finite dimensional algebras; $\mathbf{g}$-vectors.
Funding agency Grant number
Agence Nationale de la Recherche SC3A (15 CE40 0004 01)
Israel Science Foundation 1144/16
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.
Received: February 26, 2018; in final form May 10, 2018; Published online May 14, 2018
Bibliographic databases:
Document Type: Article
MSC: 16G10; 16G20; 05E10
Language: English
Citation: Vincent Pilaud, Pierre-Guy Plamondon, Salvatore Stella, “A $\tau$-Tilting Approach to Dissections of Polygons”, SIGMA, 14 (2018), 045, 8 pp.
Citation in format AMSBIB
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\by Vincent~Pilaud, Pierre-Guy~Plamondon, Salvatore~Stella
\paper A $\tau$-Tilting Approach to Dissections of Polygons
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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