메뉴 건너뛰기




Volumn 217, Issue 3, 2001, Pages 521-554

Geometrical tools for quantum euclidean spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035531638     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005553     Document Type: Article
Times cited : (38)

References (39)
  • 1
    • 1542531565 scopus 로고    scopus 로고
    • Bicovariant calculus on twisted ISO(N), Quantum Poincaré Group and Quantum Minkowski Space
    • Aschieri, P., Castellani, L.: Bicovariant Calculus on Twisted ISO(N), Quantum Poincaré Group and Quantum Minkowski Space. Int. J. Mod. Phys. A 11, 4513 (1996)
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 4513
    • Aschieri, P.1    Castellani, L.2
  • 2
    • 0000273180 scopus 로고    scopus 로고
    • q,r(N) - Bicovariant calculi and differential geometry on Quantum Minkowski Space
    • q,r(N) - Bicovariant Calculi and Differential Geometry on Quantum Minkowski Space. Eur. Phys. J. C 7, 159-175 (1999)
    • (1999) Eur. Phys. J. C , vol.7 , pp. 159-175
    • Aschieri, P.1    Castellani, L.2    Scarfone, A.M.3
  • 4
    • 14244264371 scopus 로고
    • q(N), quantum Poincaré algebra and q-gravity
    • q(N), quantum Poincaré algebra and q-gravity. Commun. Math. Phys. 171, 383 (1995)
    • (1995) Commun. Math. Phys. , vol.171 , pp. 383
    • Castellani, L.1
  • 6
    • 0039004169 scopus 로고    scopus 로고
    • Structure of the three-dimensional Quantum Euclidean Space
    • Cerchiai, B.L., Madore, J., Schraml, S. and Wess, J.: Structure of the three-dimensional Quantum Euclidean Space. Eur. Phys. J. C 16, 169-180 (2000)
    • (2000) Eur. Phys. J. C , vol.16 , pp. 169-180
    • Cerchiai, B.L.1    Madore, J.2    Schraml, S.3    Wess, J.4
  • 7
    • 0000348096 scopus 로고    scopus 로고
    • q-deformed Minkowski space based on a q-Lorentz algebra
    • Cerchiai, B. and Wess, J.: q-deformed Minkowski space based on a q-Lorentz algebra. Euro. Phys. J. C 5, 553 (1998)
    • (1998) Euro. Phys. J. C , vol.5 , pp. 553
    • Cerchiai, B.1    Wess, J.2
  • 10
    • 0009240614 scopus 로고    scopus 로고
    • Some complex quantum manifolds and their geometry
    • G.'t Hooft, A. Jaffe, G. Mack, P. Mitter, R. Stora (Eds.) New York: Plenum Press, NATO ASI Series
    • Chu, C.S., Ho, P.M., Zumino, B.: Some complex quantum manifolds and their geometry. In: Quantum Fields and Quantum Space Time, Cargese, August 1996, G.'t Hooft, A. Jaffe, G. Mack, P. Mitter, R. Stora (Eds.) New York: Plenum Press, NATO ASI Series 364, 1997, p. 283
    • (1997) Quantum Fields and Quantum Space Time, Cargese, August 1996 , vol.364 , pp. 283
    • Chu, C.S.1    Ho, P.M.2    Zumino, B.3
  • 13
    • 0030507181 scopus 로고    scopus 로고
    • Differential calculi and linear connections
    • Dimakis, A. and Madore, J.: Differential calculi and linear connections. J. Math. Phys. 37 no. 9, 4647-4661 (1996)
    • (1996) J. Math. Phys. , vol.37 , Issue.9 , pp. 4647-4661
    • Dimakis, A.1    Madore, J.2
  • 14
    • 33750947757 scopus 로고
    • The quantum structure of spacetime at the Planck scale and quantum fields
    • Doplicher, S., Fredenhagen, K. and Roberts, J.: The quantum structure of spacetime at the Planck scale and quantum fields. Commun. Math. Phys. 172, 187 (1995)
    • (1995) Commun. Math. Phys. , vol.172 , pp. 187
    • Doplicher, S.1    Fredenhagen, K.2    Roberts, J.3
  • 16
    • 0000805003 scopus 로고
    • Quasi hopf algebras
    • Drinfeld, V.: Quasi hopf algebras. Leningrad Math. J. 1, 1419 (1990)
    • (1990) Leningrad Math. J. , vol.1 , pp. 1419
    • Drinfeld, V.1
  • 21
    • 4243473139 scopus 로고    scopus 로고
    • Divergencies in a field theory on quantum space
    • Filk, T.: Divergencies in a field theory on quantum space. Phys. Lett. 376, 53 (1996)
    • (1996) Phys. Lett. , vol.376 , pp. 53
    • Filk, T.1
  • 23
    • 0034164936 scopus 로고    scopus 로고
    • The geometry of Quantum Euclidean Spaces
    • Fiore, G. and Madore, J.: The geometry of Quantum Euclidean Spaces. J. Geom. Phys. 33, 257-287 (2000)
    • (2000) J. Geom. Phys. , vol.33 , pp. 257-287
    • Fiore, G.1    Madore, J.2
  • 24
    • 0040200071 scopus 로고    scopus 로고
    • Leibniz rules and reality conditions
    • Università di Napoli
    • Fiore, G. and Madore, J.: Leibniz rules and reality conditions. Dip. Matematica e Applicazioni, Università di Napoli, 98-13; http://xxx.lanl.gov/abs/math/9806071math/9806071.
    • Dip. Matematica e Applicazioni , pp. 98-113
    • Fiore, G.1    Madore, J.2
  • 26
    • 0000894622 scopus 로고    scopus 로고
    • Minimal length uncertainty relation and ultraviolet regularization
    • Kempf, A. and Mangano, G.: Minimal length uncertainty relation and ultraviolet regularization. Phys. Rev. D 55, 7909 (1997)
    • (1997) Phys. Rev. D , vol.55 , pp. 7909
    • Kempf, A.1    Mangano, G.2
  • 27
    • 0001119818 scopus 로고
    • New quantum Poincaré, algebra and k-deformed field theory
    • Lukierski, J., Nowicki, A. and Ruegg, H.: New quantum Poincaré, algebra and k-deformed field theory. Phys. Lett. B 293, 344 (1992)
    • (1992) Phys. Lett. B , vol.293 , pp. 344
    • Lukierski, J.1    Nowicki, A.2    Ruegg, H.3
  • 32
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • Seiberg, N. and Witten, E.: String theory and noncommutative geometry. J. High Energy Phys. 09, 032 (1999)
    • (1999) J. High Energy Phys. , vol.9 , pp. 32
    • Seiberg, N.1    Witten, E.2
  • 33
    • 34347406191 scopus 로고
    • Quantized space-time
    • Snyder, H.: Quantized space-time. Phys. Rev. 71, 38 (1947)
    • (1947) Phys. Rev. , vol.71 , pp. 38
    • Snyder, H.1
  • 34
    • 0002305960 scopus 로고
    • The electromagnetic field in quantized space-time
    • Snyder, H.: The electromagnetic field in quantized space-time. Phys. Rev. 72, 68 (1947)
    • (1947) Phys. Rev. , vol.72 , pp. 68
    • Snyder, H.1
  • 35
    • 0030494874 scopus 로고    scopus 로고
    • Integration on quantum euclidean space and sphere in N dimensions
    • Steinacker, H.: Integration on quantum euclidean space and sphere in N dimensions. J. Math. Phys. 37, 7438 (1996)
    • (1996) J. Math. Phys. , vol.37 , pp. 7438
    • Steinacker, H.1
  • 36
    • 44949285483 scopus 로고
    • Covariant differential calculus on the quantum hyperplane
    • Wess, J. and Zumino, B.: Covariant differential calculus on the quantum hyperplane. Nucl. Phys. B (Proc. Suppl.) 18, 302 (1990)
    • (1990) Nucl. Phys. B (Proc. Suppl.) , vol.18 , pp. 302
    • Wess, J.1    Zumino, B.2
  • 37
    • 0001466873 scopus 로고
    • Pseudospaces, pseudogroups and Pontriagin duality
    • Mathematical problems in theoretical physics, Lausanne, August, 1979, K. Osterwalder. ed., Berlin-Heidelberg-New York: Springer-Verlag
    • Woronowicz, S.: Pseudospaces, pseudogroups and Pontriagin duality. In: Mathematical problems in theoretical physics, Lausanne, August, 1979, K. Osterwalder. ed., Lect. Notes in Phys. 116, Berlin-Heidelberg-New York: Springer-Verlag, 1980, pp. 407-412
    • (1980) Lect. Notes in Phys. , vol.116 , pp. 407-412
    • Woronowicz, S.1
  • 39
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • Woronowicz, S.: Compact matrix pseudogroups. Commun. Math. Phys. 111, 613 (1987)
    • (1987) Commun. Math. Phys. , vol.111 , pp. 613
    • Woronowicz, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.