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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 007, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.007 (Mi sigma1544) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some Consequences of Categorification

Dylan Rupela, Salvatore Stellab

a Pasadena Unified School District, Math Academy, Pasadena, CA 91101, USA
b Università degli studi di Roma “La Sapienza”, Dipartimento di Matematica “G. Castelnuovo”, P.le Aldo Moro, 5 – 00185 Rome, Italy
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DOI: https://doi.org/10.3842/SIGMA.2020.007
Abstract: Several conjectures on acyclic skew-symmetrizable cluster algebras are proven as direct consequences of their categorification via valued quivers. These include conjectures of Fomin–Zelevinsky, Reading–Speyer, and Reading–Stella related to $\mathbf{d}$-vectors, $\mathbf{g}$-vectors, and $F$-polynomials.
Keywords: acyclc cluster algebras, categorification, valued quivers.
Funding agency Grant number
Israel Science Foundation 1144/16
AMS-Simons Travel Grant
D.R. was partially supported by an AMS-Simons Travel Grant; S.S. was supported by ISF grant 1144/16.
Received: October 16, 2019; in final form January 21, 2020; Published online January 30, 2020
Bibliographic databases:
Document Type: Article
MSC: 13F60, 16G20
Language: English
Citation: Dylan Rupel, Salvatore Stella, “Some Consequences of Categorification”, SIGMA, 16 (2020), 007, 8 pp.
Citation in format AMSBIB
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\paper Some Consequences of Categorification
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\vol 16
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\totalpages 8
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    • This publication is cited in the following 2 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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