Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients
We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147764 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients / S. Stella, P. Tumarkin // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862553907492814848 |
|---|---|
| author | Stella, S. Tumarkin, P. |
| author_facet | Stella, S. Tumarkin, P. |
| citation_txt | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients / S. Stella, P. Tumarkin // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.
|
| first_indexed | 2025-11-25T21:22:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147764 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T21:22:35Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Stella, S. Tumarkin, P. 2019-02-15T19:16:38Z 2019-02-15T19:16:38Z 2016 Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients / S. Stella, P. Tumarkin // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 13F60 DOI:10.3842/SIGMA.2016.067 https://nasplib.isofts.kiev.ua/handle/123456789/147764 We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients. This paper was completed during a visit to Durham University; the first author would like
 to thank both Grey College and the Department of Mathematical Sciences for the hospitality
 received. We are also grateful to Anna Felikson for many fruitful discussions, and to Nathan
 Reading for his help with some early attempts at Theorem 1.5 and for his comments on a preliminary
 version of this paper. Finally we would like to thank our anonymous referees for pointing
 out a flaw in an earlier version of Lemma 2.7 and for several useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients Article published earlier |
| spellingShingle | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients Stella, S. Tumarkin, P. |
| title | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients |
| title_full | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients |
| title_fullStr | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients |
| title_full_unstemmed | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients |
| title_short | Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients |
| title_sort | exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147764 |
| work_keys_str_mv | AT stellas exchangerelationsforfinitetypeclusteralgebraswithacyclicinitialseedandprincipalcoefficients AT tumarkinp exchangerelationsforfinitetypeclusteralgebraswithacyclicinitialseedandprincipalcoefficients |