T-Path Formula and Atomic Bases for Cluster Algebras of Type D
We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D.
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| Datum: | 2015 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2015
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147131 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | T-Path Formula and Atomic Bases for Cluster Algebras of Type D / E. Gunawan, G. Musiker // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ. |
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irk-123456789-1471312019-02-14T01:23:25Z T-Path Formula and Atomic Bases for Cluster Algebras of Type D Gunawan, E. Musiker, G. We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D. 2015 Article T-Path Formula and Atomic Bases for Cluster Algebras of Type D / E. Gunawan, G. Musiker // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 13F60; 05E15; 16S99 DOI:10.3842/SIGMA.2015.060 http://dspace.nbuv.gov.ua/handle/123456789/147131 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D. |
| format |
Article |
| author |
Gunawan, E. Musiker, G. |
| spellingShingle |
Gunawan, E. Musiker, G. T-Path Formula and Atomic Bases for Cluster Algebras of Type D Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Gunawan, E. Musiker, G. |
| author_sort |
Gunawan, E. |
| title |
T-Path Formula and Atomic Bases for Cluster Algebras of Type D |
| title_short |
T-Path Formula and Atomic Bases for Cluster Algebras of Type D |
| title_full |
T-Path Formula and Atomic Bases for Cluster Algebras of Type D |
| title_fullStr |
T-Path Formula and Atomic Bases for Cluster Algebras of Type D |
| title_full_unstemmed |
T-Path Formula and Atomic Bases for Cluster Algebras of Type D |
| title_sort |
t-path formula and atomic bases for cluster algebras of type d |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147131 |
| citation_txt |
T-Path Formula and Atomic Bases for Cluster Algebras of Type D / E. Gunawan, G. Musiker // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 23 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT gunawane tpathformulaandatomicbasesforclusteralgebrasoftyped AT musikerg tpathformulaandatomicbasesforclusteralgebrasoftyped |
| first_indexed |
2025-07-11T01:25:06Z |
| last_indexed |
2025-07-11T01:25:06Z |
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1837311834554630144 |