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Science in China, Series A: Mathematics
Volumn 49, Issue 12, 2006, Pages 1839-1854
Applications of BGP-reflection functors: Isomorphisms of cluster algebras
Author keywords

BGP reflection functors; Cluster variables; Coxeter automorphisms of cluster algebras
Indexed keywords

EID: 33846503813     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-006-2004-6     Document Type: Article
Times cited : (4)
References (17)
  • 1
    • 0036004369 scopus 로고    scopus 로고
    • Cluster algebras I: Foundations
    • Fomin S, Zelevinsky A. Cluster Algebras I: Foundations. J Amer Math Soc, 2002, 15(2): 497-529
    • (2002) J Amer Math Soc , vol.15 , Issue.2 , pp. 497-529
    • Fomin, S.1    Zelevinsky, A.2
  • 2
    • 0141457388 scopus 로고    scopus 로고
    • Cluster algebras II: Finite type classification
    • Fomin S, Zelevinsky A. Cluster algebras II: Finite type classification. Invent Math, 2003, 154(1): 63-121
    • (2003) Invent Math , vol.154 , Issue.1 , pp. 63-121
    • Fomin, S.1    Zelevinsky, A.2
  • 3
    • 0347188734 scopus 로고    scopus 로고
    • Y-systems and generalized associahedra
    • Fomin S, Zelevinsky A. Y-systems and generalized associahedra. Annals of Mathematics, 2003, 158(3): 977-1018
    • (2003) Annals of Mathematics , vol.158 , Issue.3 , pp. 977-1018
    • Fomin, S.1    Zelevinsky, A.2
  • 4
    • 12744281268 scopus 로고    scopus 로고
    • Cluster algebras III: Upper bounds and double Bruhat cells
    • Bernstein A, Fomin S, Zelevinsky A. Cluster algebras III: Upper bounds and double Bruhat cells. Duke Math J, 2005, 126(1): 1-52
    • (2005) Duke Math J , vol.126 , Issue.1 , pp. 1-52
    • Bernstein, A.1    Fomin, S.2    Zelevinsky, A.3
  • 5
    • 0242287387 scopus 로고    scopus 로고
    • Generalized associahedra via quiver representations
    • Marsh R, Reineke M, Zelevinsky A. Generalized associahedra via quiver representations. Trans Amer Math Soc, 2003, 355(10): 4171-4186
    • (2003) Trans Amer Math Soc , vol.355 , Issue.10 , pp. 4171-4186
    • Marsh, R.1    Reineke, M.2    Zelevinsky, A.3
  • 6
    • 33644780617 scopus 로고    scopus 로고
    • Quivers with relations arising from clusters (An case)
    • Caldero P, Chapoton F, Schiffler R. Quivers with relations arising from clusters (An case). Transaction of AMS, 2006, 358: 1347-1364
    • (2006) Transaction of AMS , vol.358 , pp. 1347-1364
    • Caldero, P.1    Chapoton, F.2    Schiffler, R.3
  • 8
    • 0003180307 scopus 로고
    • Russian Math. Surv, 1973, 28: 17-32
    • (1973) Russian Math Surv , vol.28 , pp. 17-32
  • 9
    • 0003094115 scopus 로고
    • Indecomposable representations of graphs and algebras
    • Dlab V, Ringel C M. Indecomposable representations of graphs and algebras. Mem Amer Math Soc, 1976, 173
    • (1976) Mem Amer Math Soc , vol.173
    • Dlab, V.1    Ringel, C.M.2
  • 11
    • 85166329447 scopus 로고    scopus 로고
    • Triangulated orbit categories
    • Keller B. Triangulated orbit categories. Document Math, 2005, 10: 551-581
    • (2005) Document Math , vol.10 , pp. 551-581
    • Keller, B.1
  • 12
    • 21844437075 scopus 로고    scopus 로고
    • Locally finite triangulated categories
    • Xiao J, Zhu B. Locally finite triangulated categories. J of Algebra, 2005, 290: 473-490
    • (2005) J of Algebra , vol.290 , pp. 473-490
    • Xiao, J.1    Zhu, B.2
  • 13
  • 14
    • 0002267010 scopus 로고
    • Auslander-Riten sequences and representation-finite algebras
    • Berlin: Springer-Verlag
    • Gabriel P. Auslander-Riten sequences and representation-finite algebras. Representation Theory, I. LNM 831. Berlin: Springer-Verlag, 1980, 1-71
    • (1980) Representation Theory I. LNM 831 , pp. 1-71
    • Gabriel, P.1
  • 15
    • 0002904066 scopus 로고
    • Infinite root systems, representations of quivers and invariant theory
    • Kac V. Infinite root systems, representations of quivers and invariant theory. Invent Math, 1980, 56: 57-92
    • (1980) Invent Math , vol.56 , pp. 57-92
    • Kac, V.1
  • 16
    • 33746247195 scopus 로고    scopus 로고
    • Positivity and canonical bases in rank 2 cluster algebras of finite and affine types
    • Sherman P, Zelevinsky A. Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Moscow Math J, 2004, 4(4): 947-974
    • (2004) Moscow Math J , vol.4 , Issue.4 , pp. 947-974
    • Sherman, P.1    Zelevinsky, A.2
  • 17
    • 84963091012 scopus 로고
    • The equivalence of certain functors occurring in the representation theory of artin algebras and species
    • Brenner S, Butler M C R. The equivalence of certain functors occurring in the representation theory of artin algebras and species. Journal of the LMS, 1976, 14(1): 183-187
    • (1976) Journal of the LMS , vol.14 , Issue.1 , pp. 183-187
    • Brenner, S.1    Butler, M.C.R.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.