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Volumn 37, Issue 9, 1996, Pages 4724-4737

Quasitriangularity and enveloping algebras for inhomogeneous quantum groups

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EID: 0030516214     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531651     Document Type: Article
Times cited : (1)

References (20)
  • 2
    • 0002260109 scopus 로고    scopus 로고
    • On the classification of quantum Poincaré groups
    • hep-th 9412059
    • P. Podleś and S. L. Woronowicz. "On the classification of quantum Poincaré groups," hep-th 9412059, Commun. Math. Phys. 178, 61-82 (1996).
    • (1996) Commun. Math. Phys. , vol.178 , pp. 61-82
    • Podleś, P.1    Woronowicz, S.L.2
  • 3
    • 85045502281 scopus 로고    scopus 로고
    • Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces
    • q-alg 9510019, UC Berkeley preprint, PAM-654, will appear in
    • P. Podleś, "Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces," q-alg 9510019, UC Berkeley preprint, PAM-654, will appear in Commun. Math. Phys.
    • Commun. Math. Phys.
    • Podleś, P.1
  • 4
    • 85007967668 scopus 로고
    • Complex quantum groups and their real representations
    • P. Podleś, "Complex quantum groups and their real representations," Publ. RIMS, Kyoto Univ. 28, 709-745 (1992).
    • (1992) Publ. RIMS, Kyoto Univ. , vol.28 , pp. 709-745
    • Podleś, P.1
  • 5
    • 0011524082 scopus 로고
    • Quantum deformations of the Lorentz group. The Hopf *-algebra level
    • S. L. Woronowicz and S. Zakrzewski, "Quantum deformations of the Lorentz group. The Hopf *-algebra level," Comp. Math. 90, 211-243 (1994).
    • (1994) Comp. Math. , vol.90 , pp. 211-243
    • Woronowicz, S.L.1    Zakrzewski, S.2
  • 7
    • 38249007914 scopus 로고
    • Quantum groups and quantum determinants
    • T. Hayashi, "Quantum groups and quantum determinants," J. Alg. 152(1), 146-165 (1992).
    • (1992) J. Alg. , vol.152 , Issue.1 , pp. 146-165
    • Hayashi, T.1
  • 8
    • 84972979554 scopus 로고
    • Two dual classes of bialgebras related to the concepts of 'quantum group' and 'quantum Lie algebra'
    • R. G. Larson and J. Towber, "Two dual classes of bialgebras related to the concepts of 'quantum group' and 'quantum Lie algebra'," Comm. Algebra 19, 3295-3345 (1991).
    • (1991) Comm. Algebra , vol.19 , pp. 3295-3345
    • Larson, R.G.1    Towber, J.2
  • 9
    • 84956230379 scopus 로고
    • Hopf algebras and vector symmetries
    • V. V. Lyubashenko, "Hopf algebras and vector symmetries," Russ. Math. Surv. 41(5), 153-154 (1986) [Usp. Mat. Nauk 41(5), 185-186 (1986)].
    • (1986) Russ. Math. Surv. , vol.41 , Issue.5 , pp. 153-154
    • Lyubashenko, V.V.1
  • 10
    • 84956230379 scopus 로고
    • V. V. Lyubashenko, "Hopf algebras and vector symmetries," Russ. Math. Surv. 41(5), 153-154 (1986) [Usp. Mat. Nauk 41(5), 185-186 (1986)].
    • (1986) Usp. Mat. Nauk , vol.41 , Issue.5 , pp. 185-186
  • 11
    • 0001940379 scopus 로고
    • Quasitriangular Hopf algebras and Yang-Baxter equations
    • S. Majid, "Quasitriangular Hopf algebras and Yang-Baxter equations," Int. J. Mod. Phys. A 5(1), 1-91 (1990).
    • (1990) Int. J. Mod. Phys. A , vol.5 , Issue.1 , pp. 1-91
    • Majid, S.1
  • 12
    • 0002119476 scopus 로고
    • Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
    • S. L. Woronowicz, "Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups," Inv. Math. 93, 35-76 (1988).
    • (1988) Inv. Math. , vol.93 , pp. 35-76
    • Woronowicz, S.L.1
  • 13
    • 51249175198 scopus 로고
    • Quantum deformation of Lorentz group
    • P. Podleś and S. L. Woronowicz, "Quantum deformation of Lorentz group," Commun. Math. Phys. 130, 381-431 (1990).
    • (1990) Commun. Math. Phys. , vol.130 , pp. 381-431
    • Podleś, P.1    Woronowicz, S.L.2
  • 14
    • 0000928136 scopus 로고
    • Finite dimensional representations of the quantum Lorentz group
    • M. Takeuchi, "Finite dimensional representations of the quantum Lorentz group," Commun. Math. Phys. 144, 557-580 (1992).
    • (1992) Commun. Math. Phys. , vol.144 , pp. 557-580
    • Takeuchi, M.1
  • 15
    • 0039631969 scopus 로고    scopus 로고
    • private information
    • S. L. Woronowicz, private information.
    • Woronowicz, S.L.1
  • 16
    • 85007947259 scopus 로고
    • Twisted SU(2) group. An example of a non-commutative differential calculus
    • S. L. Woronowicz, "Twisted SU(2) group. An example of a non-commutative differential calculus," Publ. RIMS, Kyoto Univ. 23, 117-181 (1987).
    • (1987) Publ. RIMS, Kyoto Univ. , vol.23 , pp. 117-181
    • Woronowicz, S.L.1
  • 17
    • 0000057580 scopus 로고
    • Quantization of Lie groups and Lie algebras
    • N. Yu. Reshetikhin, L. A. Takhtadzyan, and L. D. Faddeev, "Quantization of Lie groups and Lie algebras," Leningrad Math. J. 1(1), 193-225 (1990) [Alg. anal. 1(1), 178-206 (1989)].
    • (1990) Leningrad Math. J. , vol.1 , Issue.1 , pp. 193-225
    • Reshetikhin, N.Yu.1    Takhtadzyan, L.A.2    Faddeev, L.D.3
  • 18
    • 0000833744 scopus 로고
    • N. Yu. Reshetikhin, L. A. Takhtadzyan, and L. D. Faddeev, "Quantization of Lie groups and Lie algebras," Leningrad Math. J. 1(1), 193-225 (1990) [Alg. anal. 1(1), 178-206 (1989)].
    • (1989) Alg. Anal. , vol.1 , Issue.1 , pp. 178-206
  • 19
    • 1542713894 scopus 로고
    • Inhomogeneous quantum groups and their quantized universal enveloping algebras
    • M. Schlieker, W. Weich, and R. Weixler, "Inhomogeneous quantum groups and their quantized universal enveloping algebras," Lett. Math. Phys. 27, 217-222 (1993).
    • (1993) Lett. Math. Phys. , vol.27 , pp. 217-222
    • Schlieker, M.1    Weich, W.2    Weixler, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.