메뉴 건너뛰기




Volumn 199, Issue 3, 1999, Pages 547-589

Doubles of quasi-quantum groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033479633     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050512     Document Type: Article
Times cited : (53)

References (35)
  • 1
    • 0004089001 scopus 로고
    • Cambridge University Press, Cambridge
    • [A] Abe, E.: Hopf Algebras, Cambridge University Press, Cambridge, 1980
    • (1980) Hopf Algebras
    • Abe, E.1
  • 2
    • 21144484691 scopus 로고
    • Quasi-quantum groups, knots, three-manifolds and topological field theory
    • [AC] Altschuler, D., Coste, A.: Quasi-Quantum Groups, Knots, Three-Manifolds and Topological Field Theory. Commun. Math. Phys. 150, 83-107 (1992)
    • (1992) Commun. Math. Phys. , vol.150 , pp. 83-107
    • Altschuler, D.1    Coste, A.2
  • 6
    • 0039902474 scopus 로고
    • Combinatorial quantization of the hamiltonian chern simons theory, I, II
    • [AGS] Alekseev, A.Yu., Grosse, H., Schomerus, V.: Combinatorial Quantization of the Hamiltonian Chern Simons Theory, I, II. Commun. Math. Phys. 172, 317-358 (1995) and 174, 561-604 (1996)
    • (1995) Commun. Math. Phys. , vol.172 , pp. 317-358
    • Alekseev, A.Yu.1    Grosse, H.2    Schomerus, V.3
  • 7
    • 0030542947 scopus 로고    scopus 로고
    • [AGS] Alekseev, A.Yu., Grosse, H., Schomerus, V.: Combinatorial Quantization of the Hamiltonian Chern Simons Theory, I, II. Commun. Math. Phys. 172, 317-358 (1995) and 174, 561-604 (1996)
    • (1996) Commun. Math. Phys. , vol.174 , pp. 561-604
  • 8
    • 0000480877 scopus 로고    scopus 로고
    • Representation theory of chern simons observables
    • [AS] Alekseev, A.Yu., Schomerus, V: Representation Theory of Chern Simons Observables. Duke Math. J. 85 No. 2, 447 (1996)
    • (1996) Duke Math. J. , vol.85 , Issue.2 , pp. 447
    • Alekseev, A.Yu.1    Schomerus, V.2
  • 9
    • 0041151134 scopus 로고
    • Quantum groups in the higgs phase
    • Discrete Gauge Theories. hep-th/9511201
    • [BaWi] Bais, F.A., de Wild Propitius, M.: Quantum groups in the Higgs phase. Theor. Math. Phys. 98, 425 (1994); Discrete Gauge Theories. hep-th/9511201
    • (1994) Theor. Math. Phys. , vol.98 , pp. 425
    • Bais, F.A.1    De Wild Propitius, M.2
  • 10
    • 0001415590 scopus 로고
    • The quantum double in integrable quantum field theory
    • [BL] Bernard, D., LeClair, A.: The quantum double in integrable quantum field theory. Nucl. Phys. B399, 709 (1993)
    • (1993) Nucl. Phys. , vol.B399 , pp. 709
    • Bernard, D.1    LeClair, A.2
  • 11
    • 0032326361 scopus 로고    scopus 로고
    • Vertex operators - From a toy model to lattice algebras
    • [ByS] Bytsko, A.G., Schomerus, V.: Vertex Operators - From a toy model to lattice algebras. Commun. Math. Phys. 191, 87 (1998)
    • (1998) Commun. Math. Phys. , vol.191 , pp. 87
    • Bytsko, A.G.1    Schomerus, V.2
  • 12
    • 44949283212 scopus 로고
    • Quasi hopf algebras, group cohomology and orbifold models
    • [DPR] Dijkgraaf, R., Pasquier, V., Roche, P.: Quasi Hopf algebras, group cohomology and orbifold models. Nucl. Phys. 18B (Proc. Suppl), 60 (1990)
    • (1990) Nucl. Phys. , vol.18 B , Issue.PROC. SUPPL. , pp. 60
    • Dijkgraaf, R.1    Pasquier, V.2    Roche, P.3
  • 14
    • 0000805003 scopus 로고
    • Quasi-hopf algebras
    • Drinfeld, V.G.: Quasi-Hopf Algebras. Leningrad Math. J. 1, No.6, 1419 (1990)
    • (1990) Leningrad Math. J. , vol.1 , Issue.6 , pp. 1419
    • Drinfeld, V.G.1
  • 15
    • 0002888554 scopus 로고
    • Quantum symmetry in conformal field theory by hamiltonian methods
    • eds. J. Fröhlich et al., New York: Plenum Press
    • [Fa] Faddeev, L.D.: Quantum Symmetry in conformal field theory by Hamiltonian methods. In: New Symmetry Principles in Quantum Field Theory, (Proc. Cargèse 1991) eds. J. Fröhlich et al., New York: Plenum Press, 1992, pp. 159-175
    • (1992) New Symmetry Principles in Quantum Field Theory, (Proc. Cargèse 1991) , pp. 159-175
    • Faddeev, L.D.1
  • 16
    • 0010950137 scopus 로고
    • Lattice wess-zumino-witten model and quantum groups
    • [FG] Falceto, F., Gawedszki, K.: Lattice Wess-Zumino-Witten Model and Quantum Groups. J. Geom. Phys. 11, 251 (1993)
    • (1993) J. Geom. Phys. , vol.11 , pp. 251
    • Falceto, F.1    Gawedszki, K.2
  • 17
    • 0038849916 scopus 로고    scopus 로고
    • Two-sided crossed products by duals of quasi-quantum groups
    • q-alg/9708004
    • [HN] Hausser, F., Nill, F.: Two-Sided Crossed Products by Duals of Quasi-Quantum Groups, q-alg/9708004, to appear in Rev. Math. Phys.
    • Rev. Math. Phys.
    • Hausser, F.1    Nill, F.2
  • 18
    • 0009389209 scopus 로고
    • Quantum Groups. New York. Springer
    • [K] Kassel, C.: Quantum Groups. New York. Springer, 1995
    • (1995)
    • Kassel, C.1
  • 19
    • 0001663386 scopus 로고
    • Tannaka-krein theorem for quasi-hopf algebras and other results
    • Majid, S.: Tannaka-Krein Theorem for Quasi-Hopf algebras and other Results. Contemp. Math. Phys. 150, 219-232 (1992)
    • (1992) Contemp. Math. Phys. , vol.150 , pp. 219-232
    • Majid, S.1
  • 22
    • 0001940379 scopus 로고
    • Quasitriangular hopf algebras and yang baxter equations
    • Majid, S.: Quasitriangular Hopf algebras and Yang Baxter equations. Int. J. Mod. Phys. A5, 1 (1990)
    • (1990) Int. J. Mod. Phys. , vol.A5 , pp. 1
    • Majid, S.1
  • 23
    • 0346405348 scopus 로고
    • Braided Groups.
    • Majid, S.: Braided Groups. J. Pure Appl. Alg. 86, 187-221 (1993)
    • (1993) J. Pure Appl. Alg. , vol.86 , pp. 187-221
    • Majid, S.1
  • 25
    • 0011694830 scopus 로고
    • Quasi hopf quantum symmetry in quantum theory
    • [MS] G. Mack, V. Schomerus, Quasi Hopf Quantum Symmetry in Quantum Theory. Nucl. Phys. B370, 185 (1992)
    • (1992) Nucl. Phys. , vol.B370 , pp. 185
    • Mack, G.1    Schomerus, V.2
  • 26
    • 0038855362 scopus 로고    scopus 로고
    • Quantum double actions on operator algebras and orbifold quantum field theories
    • Disorder Operators, Quantum Doubles and Haag Duality in 1 + 1 Dimensions. Preprint DESY 96-237; Superselection Structure of Quantum Field Theories in 1 + 1 Dimensions. PhD thesis, DESY 97-073
    • [Mü] Müger, M.: Quantum Double Actions on Operator Algebras and Orbifold Quantum Field Theories. Commun. Math. Phys. 191, 31 (1998); Disorder Operators, Quantum Doubles and Haag Duality in 1 + 1 Dimensions. Preprint DESY 96-237; Superselection Structure of Quantum Field Theories in 1 + 1 Dimensions. PhD thesis, DESY 97-073
    • (1998) Commun. Math. Phys. , vol.191 , pp. 31
    • Müger, M.1
  • 27
    • 0031285648 scopus 로고    scopus 로고
    • On the structure of monodromy algebras and drinfeld doubles
    • Nill, F.: On the Structure of Monodromy Algebras and Drinfeld Doubles. Rev. Math. Phys. 9, 371-397 (1997)
    • (1997) Rev. Math. Phys. , vol.9 , pp. 371-397
    • Nill, F.1
  • 28
    • 0003009370 scopus 로고
    • Fusion structures from quantum groups II: Why truncation is necessary
    • Nill, F.: Fusion Structures from Quantum Groups II: Why truncation is necessary. Lett. Math. Phys. 29, 83-90 (1993)
    • (1993) Lett. Math. Phys. , vol.29 , pp. 83-90
    • Nill, F.1
  • 29
    • 0039386349 scopus 로고    scopus 로고
    • Quantum chains of hopf algebras with quantum double cosymmetry
    • [NSz] Nill, F., Szlachányi, K.: Quantum Chains of Hopf Algebras with Quantum Double Cosymmetry. Commun. Math. Phys. 187, 159 (1997)
    • (1997) Commun. Math. Phys. , vol.187 , pp. 159
    • Nill, F.1    Szlachányi, K.2
  • 30
    • 51249175198 scopus 로고
    • Quantum deformation of the lorentz group
    • [PW] Podlés, P., Woronowicz, S.L.: Quantum deformation of the Lorentz group. Commun. Math. Phys. 130, 381 (1990)
    • (1990) Commun. Math. Phys. , vol.130 , pp. 381
    • Podlés, P.1    Woronowicz, S.L.2
  • 31
    • 34249960869 scopus 로고
    • Ribbon graphs and their invariants derived from quantum groups
    • [RT] Reshetikin, N.Yu. and Turaev, V.G.: Ribbon Graphs and their Invariants derived from Quantum Groups. Commun. Math. Phys. 127, 1-26 (1990)
    • (1990) Commun. Math. Phys. , vol.127 , pp. 1-26
    • Reshetikin, N.Yu.1    Turaev, V.G.2
  • 34
    • 21144482801 scopus 로고
    • Quantum symmetry and braid group statistics in G-spin models
    • [SzV] Szlachänyi, K., Vescernyés, P.: Quantum symmetry and braid group statistics in G-spin models. Commun. Math. Phys. 156, 127 (1993)
    • (1993) Commun. Math. Phys. , vol.156 , pp. 127
    • Szlachänyi, K.1    Vescernyés, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.