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Volumn 233, Issue 1, 2000, Pages 156-212

Weak Hopf algebras: II. Representation theory, dimensions, and the Markov trace

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EID: 0034311674     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.2000.8379     Document Type: Article
Times cited : (79)

References (25)
  • 3
    • 1542743743 scopus 로고    scopus 로고
    • A coassociative C*-quantum group with nonintegral dimensions
    • Böhm G., Szlachányi K. A coassociative C*-quantum group with nonintegral dimensions. Lett. Math. Phys. 35:1996;437-456.
    • (1996) Lett. Math. Phys. , vol.35 , pp. 437-456
    • Böhm, G.1    Szlachányi, K.2
  • 4
    • 0033570847 scopus 로고    scopus 로고
    • Weak Hopf algebras. I. Integral theory and the C*-structure
    • Böhm G., Nill F., Szlachányi K. Weak Hopf algebras. I. Integral theory and the C*-structure. J. Algebra. 221:1999;385-438.
    • (1999) J. Algebra , vol.221 , pp. 385-438
    • Böhm, G.1    Nill, F.2    Szlachányi, K.3
  • 5
    • 0003502277 scopus 로고
    • Lecture Notes in Mathematics. New York/Berlin: Springer-Verlag. p. 101-228
    • Deligne P., Milne J. S. Tannakian Categories. Lecture Notes in Mathematics. 900:1982;Springer-Verlag, New York/Berlin. p. 101-228.
    • (1982) Tannakian Categories , vol.900
    • Deligne, P.1    Milne, J.S.2
  • 8
    • 0038317711 scopus 로고
    • Generalizations of the theory of superselection sectors
    • D. Kastler. Singapore: World Scientific
    • Fredenhagen K. Generalizations of the theory of superselection sectors. Kastler D., Algebraic Theory of Superselection Sectors. 1989;World Scientific, Singapore.
    • (1989) Algebraic Theory of Superselection Sectors
    • Fredenhagen, K.1
  • 10
    • 21344494979 scopus 로고
    • A duality for Hopf algebras and for subfactors. I
    • Longo R. A duality for Hopf algebras and for subfactors. I. Commun. Math. Phys. 159:1994;133.
    • (1994) Commun. Math. Phys. , vol.159 , pp. 133
    • Longo, R.1
  • 11
    • 0001164991 scopus 로고    scopus 로고
    • A theory of dimension
    • Longo R., Roberts J. E. A theory of dimension. K-theory. 11:1997;103-159.
    • (1997) K-theory , vol.11 , pp. 103-159
    • Longo, R.1    Roberts, J.E.2
  • 12
    • 0003969139 scopus 로고
    • Graduate Text in Mathematics. New York/Berlin: Springer-Verlag
    • Mac Lane S. Categories for the Working Mathematician. Graduate Text in Mathematics. 5:1971;Springer-Verlag, New York/Berlin.
    • (1971) Categories for the Working Mathematician , vol.5
    • Mac Lane, S.1
  • 13
    • 0038140669 scopus 로고    scopus 로고
    • 1 factors
    • Preprint math.QA/9810049; to appear.
    • 1 factors, Preprint math.QA/9810049;, J. Operator Theory, to appear.
    • J. Operator Theory
    • Nikshych, D.1
  • 18
    • 0039386349 scopus 로고    scopus 로고
    • Quantum chains of Hopf algebras with quantum double cosymmetry
    • Quantum chains of Hopf algebras and order-disorder fields with quantum double symmetry, Preprint, hep-th 9507 174;
    • F. Nill, and, K. Szlachányi, Quantum chains of Hopf algebras and order-disorder fields with quantum double symmetry, Preprint, hep-th 9507 174; Quantum chains of Hopf algebras with quantum double cosymmetry, Commun. Math. Phys., 187, (1997), 159-200.
    • (1997) Commun. Math. Phys. , vol.187 , pp. 159-200
    • Nill, F.1    Szlachányi, K.2
  • 19
    • 0000934215 scopus 로고
    • Classification of amenable subfactors of type II
    • Popa S. Classification of amenable subfactors of type II. Acta. Math. 172:1994;163-255.
    • (1994) Acta. Math. , vol.172 , pp. 163-255
    • Popa, S.1
  • 20
    • 0003329622 scopus 로고    scopus 로고
    • Weak Hopf algebras
    • S. Doplicher, R. Longo, J. E. Roberts, & L. Zsidó. International Press
    • Szlachányi K. Weak Hopf algebras. Doplicher S., Longo R., Roberts J. E., Zsidó L., Operator Algebras and Quantum Field Theory. 1996;International Press.
    • (1996) Operator Algebras and Quantum Field Theory
    • Szlachányi, K.1
  • 21
    • 84966199835 scopus 로고
    • Finite index subfactors and Hopf algebra crossed products
    • Szymanski W. Finite index subfactors and Hopf algebra crossed products. Proc. Amer. Math. Soc. 120:1994;519.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 519
    • Szymanski, W.1
  • 23
    • 0001346949 scopus 로고
    • On the structure of Brauer's centralizer algebras
    • Wenzl H. On the structure of Brauer's centralizer algebras. Ann. of Math. 128:1988;173-193.
    • (1988) Ann. of Math. , vol.128 , pp. 173-193
    • Wenzl, H.1
  • 24
    • 38149147706 scopus 로고
    • Duality for generalized Kac algebras and a characterization of finite groupoid algebras
    • Yamanouchi T. Duality for generalized Kac algebras and a characterization of finite groupoid algebras. J. Algebra. 163:1994;9-50.
    • (1994) J. Algebra , vol.163 , pp. 9-50
    • Yamanouchi, T.1
  • 25
    • 0001320392 scopus 로고
    • Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories
    • Yetter D. N. Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories. Contemp. Math. 134:1992;325-349.
    • (1992) Contemp. Math. , vol.134 , pp. 325-349
    • Yetter, D.N.1


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