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Volumn 59, Issue 2, 2002, Pages 133-156

On the Noncommutative Geometry of Twisted Spheres

Author keywords

Bicovariant differential calculus; Quantum spheres; Twisted quantum groups

Indexed keywords


EID: 0011363654     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014942018467     Document Type: Article
Times cited : (16)

References (30)
  • 1
    • 0000885709 scopus 로고
    • An Introduction to noncommutative differrential geometry on quantum groups
    • arXiv:hep-th/9207084
    • Aschieri, P. and Castellani, L.: An Introduction to noncommutative differrential geometry on quantum groups, Internat. J. Modern Phys. A 8 (1993), 1667 [arXiv:hep-th/9207084].
    • (1993) Internat. J. Modern Phys. A , vol.8 , pp. 1667
    • Aschieri, P.1    Castellani, L.2
  • 2
    • 1542531565 scopus 로고    scopus 로고
    • Bicovariant calculus on twisted ISO(N), quantum Poincaré group and quantum Minkowski space
    • q-alg/9601006
    • Aschieri, P. and Castellani, L.: Bicovariant calculus on twisted ISO(N), quantum Poincaré group and quantum Minkowski space, Internat. J. Modern Phys. A 11 (1996), 4513 [q-alg/9601006].
    • (1996) Internat. J. Modern Phys. A , vol.11 , pp. 4513
    • Aschieri, P.1    Castellani, L.2
  • 5
    • 0011523252 scopus 로고
    • SO-q(N) covariant differential calculus on quantum space and quantum deformation of Schödinger equation
    • Carow-Watamura, U., Schlieker, M. and Watamura, S.: SO-q(N) covariant differential calculus on quantum space and quantum deformation of Schödinger equation, Z. Phys. C 49 (1991), 439.
    • (1991) Z. Phys. C , vol.49 , pp. 439
    • Carow-Watamura, U.1    Schlieker, M.2    Watamura, S.3
  • 8
    • 0000595944 scopus 로고    scopus 로고
    • Noncommutative manifolds: The instanton algebra and isospectral deformations
    • math.qa/0011194
    • Connes, A. and Landi, G.: Noncommutative manifolds: The instanton algebra and isospectral deformations, Comm. Math. Phys. 221 (2001), 141 [math.qa/0011194].
    • (2001) Comm. Math. Phys. , vol.221 , pp. 141
    • Connes, A.1    Landi, G.2
  • 9
    • 36149029487 scopus 로고
    • Canonical q deformations of nocompact Lie (super)algebras
    • Dobrev, V. K.: Canonical q deformations of nocompact Lie (super)algebras, J. Phys. A 26 (1993), 1317.
    • (1993) J. Phys. A , vol.26 , pp. 1317
    • Dobrev, V.K.1
  • 11
    • 0000833744 scopus 로고
    • Faddeev, L. D., Reshetikhin, N. Y. and Takhtajan, L. A.: Quantization of Lie groups and Lie algebras, Lengingrad Math. J. 1 (1990), 193 [Algebra Anal. 1 (1990), 178].
    • (1990) Algebra Anal. , vol.1 , pp. 178
  • 12
    • 21344475999 scopus 로고
    • q(n) have q-determinants, too
    • q(n) have q-determinants, too, J. Phys. A 27 (1994), 3795.
    • (1994) J. Phys. A , vol.27 , pp. 3795
    • Fiore, G.1
  • 14
    • 22244444779 scopus 로고    scopus 로고
    • Differential calculus on quantized sample Lie groups
    • q(n), Comm. Math. Phys. 142 (1991), 605; Jurco, B.: Differntial calculus on quantum groups: Constructive procedure, In: L. Castellani, and J. Wess (eds), Proc International School of Physics 'Enrico Fermi', Varenna 1994, Course CXXVII: Quantum Groups and their Application in Physics, IOS/Ohmsha Press, 1996 [hep-th/9408179].
    • (1991) Lett. Math. Phys. , vol.22 , pp. 177
    • Jurco, B.1
  • 15
    • 0000129568 scopus 로고
    • q(n)
    • q(n), Comm. Math. Phys. 142 (1991), 605; Jurco, B.: Differntial calculus on quantum groups: Constructive procedure, In: L. Castellani, and J. Wess (eds), Proc International School of Physics 'Enrico Fermi', Varenna 1994, Course CXXVII: Quantum Groups and their Application in Physics, IOS/Ohmsha Press, 1996 [hep-th/9408179].
    • (1991) Comm. Math. Phys. , vol.142 , pp. 605
    • Carow-Watamura, U.1    Schlieker, M.2    Watamura, S.3    Weich, W.4
  • 16
    • 22244444779 scopus 로고    scopus 로고
    • Differntial calculus on quantum groups: Constructive procedure
    • L. Castellani, and J. Wess (eds), Course CXXVII: Quantum Groups and their Application in Physics, IOS/Ohmsha Press, hep-th/9408179
    • q(n), Comm. Math. Phys. 142 (1991), 605; Jurco, B.: Differntial calculus on quantum groups: Constructive procedure, In: L. Castellani, and J. Wess (eds), Proc International School of Physics 'Enrico Fermi', Varenna 1994, Course CXXVII: Quantum Groups and their Application in Physics, IOS/Ohmsha Press, 1996 [hep-th/9408179].
    • (1996) Proc International School of Physics 'Enrico Fermi', Varenna 1994
    • Jurco, B.1
  • 18
    • 0000475035 scopus 로고
    • Noncommutative differential geometry on the quantum two sphere of Podles̀. I; an algebraic viewpoint
    • Masuda, T., Nakagami, Y. and Watanabe, J.: Noncommutative differential geometry on the quantum two sphere of Podles̀. I; an algebraic viewpoint, K-Theory 5 (1991), 151.
    • (1991) K-Theory , vol.5 , pp. 151
    • Masuda, T.1    Nakagami, Y.2    Watanabe, J.3
  • 19
    • 0000843573 scopus 로고
    • Reality in the differential calculus on q Euclidean spaces
    • hep-th/9205003
    • Ogievetsky, O. and Zumino, B.: Reality in the differential calculus on q Euclidean spaces, Lett. Math. Phys. 25 (1992), 121 [hep-th/9205003].
    • (1992) Lett. Math. Phys. , vol.25 , pp. 121
    • Ogievetsky, O.1    Zumino, B.2
  • 21
    • 45149146745 scopus 로고
    • Twisted second quantization
    • Pusz, W. and Woronowicz, S. L.: Twisted second quantization, Rep. Math. Phys. 27 (1990), 231; Wess, J. and Zumino, B.: Covariant differential calculus on the quantum hyperplane, Nuclear Phys. Proc. Suppl. 18B (1991), 302.
    • (1990) Rep. Math. Phys. , vol.27 , pp. 231
    • Pusz, W.1    Woronowicz, S.L.2
  • 22
    • 44949285483 scopus 로고
    • Covariant differential calculus on the quantum hyperplane
    • Pusz, W. and Woronowicz, S. L.: Twisted second quantization, Rep. Math. Phys. 27 (1990), 231; Wess, J. and Zumino, B.: Covariant differential calculus on the quantum hyperplane, Nuclear Phys. Proc. Suppl. 18B (1991), 302.
    • (1991) Nuclear Phys. Proc. Suppl. , vol.18 B , pp. 302
    • Wess, J.1    Zumino, B.2
  • 23
    • 0000834927 scopus 로고
    • Multiparametric quantum groups and twisted quasitriangular Hopf algebras
    • Reshetikhin, N.: Multiparametric quantum groups and twisted quasitriangular Hopf algebras, Lett. Math. Phys. 20 (1990), 331; Schirrmacher, A.: Multiparameter R matrices and its quantum groups, J. Phys. A 24 (1991), L1249.
    • (1990) Lett. Math. Phys. , vol.20 , pp. 331
    • Reshetikhin, N.1
  • 24
    • 0001436589 scopus 로고
    • Multiparameter R matrices and its quantum groups
    • Reshetikhin, N.: Multiparametric quantum groups and twisted quasitriangular Hopf algebras, Lett. Math. Phys. 20 (1990), 331; Schirrmacher, A.: Multiparameter R matrices and its quantum groups, J. Phys. A 24 (1991), L1249.
    • (1991) J. Phys. A , vol.24 , pp. L1249
    • Schirrmacher, A.1
  • 26
    • 85017223298 scopus 로고    scopus 로고
    • Integration on quantum Euclidean space and sphere in N-dimensions
    • q-alg/9506020
    • Steinacker, H.: Integration on quantum Euclidean space and sphere in N-dimensions, J. Math. Phys. 37 (1996), 7438 [q-alg/9506020].
    • (1996) J. Math. Phys. , vol.37 , pp. 7438
    • Steinacker, H.1
  • 27
    • 0011330435 scopus 로고
    • q(g)
    • q(g), Lett. Math. Phys. 24 (1992), 49; Aschieri, P.: Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension, Lett. Math. Phys. 49 (1999), 1 [math.qa/9805120].
    • (1992) Lett. Math. Phys. , vol.24 , pp. 49
    • Twietmeyer, E.1
  • 28
    • 0042826567 scopus 로고    scopus 로고
    • Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension
    • math.qa/9805120
    • q(g), Lett. Math. Phys. 24 (1992), 49; Aschieri, P.: Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension, Lett. Math. Phys. 49 (1999), 1 [math.qa/9805120].
    • (1999) Lett. Math. Phys. , vol.49 , pp. 1
    • Aschieri, P.1
  • 29
    • 0035536238 scopus 로고    scopus 로고
    • Quantum symmetry groups of noncommutative spheres
    • math.qa/0102065
    • Varilly, J. C.: Quantum symmetry groups of noncommutative spheres, Comm. Math. Phys. 221 (2001), 511 [math.qa/0102065].
    • (2001) Comm. Math. Phys. , vol.221 , pp. 511
    • Varilly, J.C.1
  • 30
    • 1542798257 scopus 로고
    • Differential calculus on compact matrix pseudogroups (quantum groups)
    • Woronowicz, S. L.: Differential calculus on compact matrix pseudogroups (quantum groups), Comm. Math. Phys. 122 (1989), 125.
    • (1989) Comm. Math. Phys. , vol.122 , pp. 125
    • Woronowicz, S.L.1


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