Some Consequences of Categorification

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dc.contributor.authorRupel, Dylan
dc.contributor.authorStella, Salvatore
dc.date.accessioned2025-12-12T10:39:15Z
dc.date.issued2020
dc.description.abstractSeveral 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 d-vectors, g-vectors, and F-polynomials.
dc.description.sponsorshipWe are grateful to Giovanni Cerulli Irelli for his help with references and to an anonymous referee for pointing out a flaw in the original proof of Corollary 9. D.R. was partially supported by an AMS-Simons Travel Grant; S.S. was supported by an ISF grant 1144/16. D.R. is grateful to the Department of Physics, Mathematics, and Astronomy of the California Institute of Technology and to the Department of Mathematics of the University of Notre Dame for research support; S.S. is grateful to the School of Mathematics and Actuarial Science of the University of Leicester, where part of this work was done.
dc.identifier.citationSome Consequences of Categorification. Dylan Rupel and Salvatore Stella. SIGMA 16 (2020), 007, 8 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.007
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 13F60; 16G20
dc.identifier.otherarXiv:1712.08478
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210603
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleSome Consequences of Categorification
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік