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Volumn 101, Issue 1, 2000, Pages 41-75

Singly generated planar algebras of small dimension

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EID: 0034649943     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-00-10112-3     Document Type: Article
Times cited : (52)

References (31)
  • 1
    • 84966261960 scopus 로고
    • Braids, link polynomials and a new algebra
    • J. Birman and H. Wenzl, Braids, link polynomials and a new algebra, Trans. Amer. Math. Soc. 313 (1989), 249-273.
    • (1989) Trans. Amer. Math. Soc , vol.313 , pp. 249-273
    • Birman, J.1    Wenzl, H.2
  • 2
    • 0001735230 scopus 로고
    • A note on intermediate subfactors
    • D. Bisch, A note on intermediate subfactors, Pacific J. Math. 163 (1994), 201-216.
    • (1994) Pacific J. Math , vol.163 , pp. 201-216
    • Bisch, D.1
  • 4
    • 0000959468 scopus 로고    scopus 로고
    • Composition of subfactors: New examples of infinite depth subfactors
    • D. Bisch and U. Haagerup, Composition of subfactors: New examples of infinite depth subfactors, Ann. Sci. École Norm. Sup. (4) 29 (1996), 329-383.
    • (1996) Ann. Sci. École Norm. Sup , vol.29 , Issue.4 , pp. 329-383
    • Bisch, D.1    Haagerup, U.2
  • 5
    • 0031503616 scopus 로고    scopus 로고
    • Algebras associated to intermediate subfactors
    • D. Bisch and V. Jones, Algebras associated to intermediate subfactors, Invent. Math. 128 (1997), 89-157.
    • (1997) Invent. Math , vol.128 , pp. 89-157
    • Bisch, D.1    Jones, V.2
  • 8
    • 0000440057 scopus 로고
    • Superselection sectors with braid group statistics and exchange algebras, I: General theory
    • K. Fredenhagen, K.-H. Rehren, and B. Schroer, Superselection sectors with braid group statistics and exchange algebras, I: General theory, Comm. Math. Phys. 125 (1989), 201-226.
    • (1989) Comm. Math. Phys , vol.125 , pp. 201-226
    • Fredenhagen, K.1    Rehren, K.-H.2    Schroer, B.3
  • 9
    • 0002349854 scopus 로고    scopus 로고
    • Ph.D. thesis, University of California at Berkeley
    • S. Gnerre, Free composition ofparagroups, Ph.D. thesis, University of California at Berkeley, 1997.
    • (1997) Free Composition Ofparagroups
    • Gnerre, S.1
  • 12
    • 85007973526 scopus 로고
    • Application of fusion rules to classification of subfactors
    • M. Izumi, Application of fusion rules to classification of subfactors, Publ. Res. Inst. Math. Sci. 27 (1991), 953-994.
    • (1991) Publ. Res. Inst. Math. Sci , vol.27 , pp. 953-994
    • Izumi, M.1
  • 13
    • 0010806038 scopus 로고
    • Index for subfactors
    • V. Jones, Index for subfactors, Invent. Math. 72 (1983), 1-25.
    • (1983) Invent. Math , vol.72 , pp. 1-25
    • Jones, V.1
  • 15
    • 0003298472 scopus 로고    scopus 로고
    • Introduction to Subfactors
    • Cambridge Univ. Press, Cambridge
    • V. Jones and V. Sunder, Introduction to Subfactors, London Math. Soc. Lecture Note Ser. 234, Cambridge Univ. Press, Cambridge, 1997.
    • (1997) London Math. Soc. Lecture Note Ser , vol.234
    • Jones, V.1    Sunder, V.2
  • 17
    • 0011499562 scopus 로고
    • Index of subfactors and statistics of quantum fields, I
    • R. Longo, Index of subfactors and statistics of quantum fields, I, Comm. Math. Phys. 126 (1989), 217-247.
    • (1989) Comm. Math. Phys , vol.126 , pp. 217-247
    • Longo, R.1
  • 18
    • 34249922652 scopus 로고
    • Index of subfactors and statistics of quantum fields, II: Correspondences, braid group statistics and Jones polynomial
    • R. Longo, Index of subfactors and statistics of quantum fields, II: Correspondences, braid group statistics and Jones polynomial, Comm. Math. Phys. 130 (1990), 285-309.
    • (1990) Comm. Math. Phys , vol.130 , pp. 285-309
    • Longo, R.1
  • 19
    • 84972577256 scopus 로고
    • The Kauffman polynomial of links and representation theory
    • J. Murakami, The Kauffman polynomial of links and representation theory, Osaka J. Math. 24 (1987), 745-758.
    • (1987) Osaka J. Math , vol.24 , pp. 745-758
    • Murakami, J.1
  • 20
    • 0000840618 scopus 로고
    • Quantized groups, string algebras and Galois theory for algebras
    • Cambridge Univ. Press, Cambridge
    • A. Ocneanu, “Quantized groups, string algebras and Galois theory for algebras” in Operator Algebras and Applications, Vol. 2, London Math. Soc. Lecture Note Ser. 136, Cambridge Univ. Press, Cambridge, 1988, 119-172.
    • (1988) Operator Algebras and Applications , vol.2 , pp. 119-172
    • Ocneanu, A.1
  • 22
    • 0002710273 scopus 로고
    • Entropy and index for subfactors
    • M. Pimsner and S. Popa, Entropy and index for subfactors, Ann. Sci. Ecole Norm. Sup. (4) 19 (1986), 57-106.
    • (1986) Ann. Sci. Ecole Norm. Sup , vol.19 , Issue.4 , pp. 57-106
    • Pimsner, M.1    Popa, S.2
  • 23
    • 84966203479 scopus 로고
    • Iterating the basic construction
    • M. Pimsner and S. Popa, Iterating the basic construction, Trans. Amer. Math. Soc. 310 (1988), 127-133.
    • (1988) Trans. Amer. Math. Soc , vol.310 , pp. 127-133
    • Pimsner, M.1    Popa, S.2
  • 24
    • 0002530655 scopus 로고
    • Classification of subfactors: The reduction to commuting squares
    • S. Popa, Classification of subfactors: The reduction to commuting squares, Invent. Math. 101 (1990), 19-43.
    • (1990) Invent. Math , vol.101 , pp. 19-43
    • Popa, S.1
  • 25
    • 0000934215 scopus 로고
    • Classification of amenable subfactors of type II
    • S. Popa, Classification of amenable subfactors of type II, Acta Math. 172 (1994), 163-255.
    • (1994) Acta Math , vol.172 , pp. 163-255
    • Popa, S.1
  • 26
    • 0000715340 scopus 로고
    • An axiomatizaton of the lattice of higher relative commutants of a subfactor
    • S. Popa, An axiomatizaton of the lattice of higher relative commutants of a subfactor, Invent. Math. 120 (1995), 427-445.
    • (1995) Invent. Math , vol.120 , pp. 427-445
    • Popa, S.1
  • 27
    • 0003305253 scopus 로고
    • Classification of Subfactors and Their Endomorphisms
    • Amer. Math. Soc., Providence
    • S. Popa, Classification of Subfactors and Their Endomorphisms, CBMS Regional Conf. Ser. in Math. 86, Amer. Math. Soc., Providence, 1995.
    • (1995) CBMS Regional Conf. Ser. In Math , vol.86
    • Popa, S.1
  • 29
    • 0032344404 scopus 로고    scopus 로고
    • Operator algebras and conformal field theory, III: Fusion of positive energy representations of LSU (N) using bounded operators
    • A. Wassermann, Operator algebras and conformal field theory, III: Fusion of positive energy representations of LSU (N) using bounded operators, Invent. Math. 133 (1998), 467-538.
    • (1998) Invent. Math , vol.133 , pp. 467-538
    • Wassermann, A.1
  • 30
    • 34250096712 scopus 로고
    • Hecke algebras of type An and subfactors
    • n and subfactors, Invent. Math. 92 (1988), 349-383.
    • (1988) Invent. Math , vol.92 , pp. 349-383
    • Wenzl, H.1
  • 31
    • 7244225268 scopus 로고
    • Quantum groups and subfactors of type B, C, and D
    • H. Wenzl, Quantum groups and subfactors of type B, C, and D, Comm. Math. Phys. 133 (1990), 383-432.
    • (1990) Comm. Math. Phys , vol.133 , pp. 383-432
    • Wenzl, H.1


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