A Combinatorial Formula for Certain Elements of Upper Cluster Algebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Combinatorial Formula for Certain Elements of Upper Cluster Algebras
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| Creator |
Lee, K.
Li, L. Mills, M.R. |
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| Description |
We develop an elementary formula for certain non-trivial elements of upper cluster algebras. These elements have positive coefficients. We show that when the cluster algebra is acyclic these elements form a basis. Using this formula, we show that each non-acyclic skew-symmetric cluster algebra of rank 3 is properly contained in its upper cluster algebra.
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| Date |
2019-02-13T16:57:08Z
2019-02-13T16:57:08Z 2015 |
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| Type |
Article
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| Identifier |
A Combinatorial Formula for Certain Elements of Upper Cluster Algebras / K. Lee, L. Li, M.R. Mills // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 13F60 DOI:10.3842/SIGMA.2015.049 http://dspace.nbuv.gov.ua/handle/123456789/147117 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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