Some Consequences of Categorification
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 d-vectors, g-vectors, and F-polynomials.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210603 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some Consequences of Categorification. Dylan Rupel and Salvatore Stella. SIGMA 16 (2020), 007, 8 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717474459353088 |
|---|---|
| author | Rupel, Dylan Stella, Salvatore |
| author_facet | Rupel, Dylan Stella, Salvatore |
| citation_txt | Some Consequences of Categorification. Dylan Rupel and Salvatore Stella. SIGMA 16 (2020), 007, 8 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 d-vectors, g-vectors, and F-polynomials.
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| first_indexed | 2025-12-17T12:04:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210603 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-17T12:04:19Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Rupel, Dylan Stella, Salvatore 2025-12-12T10:39:15Z 2020 Some Consequences of Categorification. Dylan Rupel and Salvatore Stella. SIGMA 16 (2020), 007, 8 pages 1815-0659 2020 Mathematics Subject Classification: 13F60; 16G20 arXiv:1712.08478 https://nasplib.isofts.kiev.ua/handle/123456789/210603 https://doi.org/10.3842/SIGMA.2020.007 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 d-vectors, g-vectors, and F-polynomials. We 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Consequences of Categorification Article published earlier |
| spellingShingle | Some Consequences of Categorification Rupel, Dylan Stella, Salvatore |
| title | Some Consequences of Categorification |
| title_full | Some Consequences of Categorification |
| title_fullStr | Some Consequences of Categorification |
| title_full_unstemmed | Some Consequences of Categorification |
| title_short | Some Consequences of Categorification |
| title_sort | some consequences of categorification |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210603 |
| work_keys_str_mv | AT rupeldylan someconsequencesofcategorification AT stellasalvatore someconsequencesofcategorification |