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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
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.
Received: October 16, 2019; in final form January 21, 2020; Published online January 30, 2020
Citation:
Dylan Rupel, Salvatore Stella, “Some Consequences of Categorification”, SIGMA, 16 (2020), 007, 8 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1544 https://www.mathnet.ru/eng/sigma/v16/p7
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Abstract page: | 133 | Full-text PDF : | 254 | References: | 14 |
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