Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Stella, S.
dc.contributor.author	Tumarkin, P.
dc.date.accessioned	2019-02-15T19:16:38Z
dc.date.available	2019-02-15T19:16:38Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 13F60
dc.identifier.other	DOI:10.3842/SIGMA.2016.067
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147764
dc.description.abstract	We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA