Transactions of the American Mathematical Society

Author(s): Fan Xu
Journal: Trans. Amer. Math. Soc. 362 (2010), 753-776.
MSC (2000): Primary 16G20, 16G70; Secondary 14M99, 18E30
Posted: September 14, 2009
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Abstract: Caldero and Keller, and Hubery have proved the cluster multiplication theorems for finite type and affine type. We generalize their results and prove the cluster multiplication theorem for arbitrary type using the 2-Calabi-Yau property and a property we call `higher order associativity'.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 16G20, 16G70, 14M99, 18E30

Fan Xu
Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China
Email: fanxu@mail.tsinghua.edu.cn

DOI: 10.1090/S0002-9947-09-04946-0
PII: S 0002-9947(09)04946-0
Keywords: 2-Calabi-Yau, cluster category
Received by editor(s): November 15, 2007.
Posted: September 14, 2009
Additional Notes: This research was partially supported by the NSF of China (No. 10631010)
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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