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Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients
Інший ID:
2010 Mathematics Subject Classification: 13F60
DOI:10.3842/SIGMA.2016.067
DOI:10.3842/SIGMA.2016.067
Посилання:
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.
Підтримка:
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.
Дата:
2016
Переглядів:
438
Завантажень:
248
Анотація:
We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.
