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Volumn 13, Issue 10, 2004, Pages 2003-2034

Generalized quantum relativistic kinematics: A stability point of view

Author keywords

Algebra deformations; Deformed special relativity; Heisenberg algebra; Invariant length scale; Invariant mass scale; Non commutative spacetime; Poincar

Indexed keywords


EID: 14144255106     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271804006632     Document Type: Review
Times cited : (76)

References (39)
  • 2
    • 0036344664 scopus 로고    scopus 로고
    • Relativity in spacetimes with short distance structure governed by an observer independent (Planckian) length scale
    • G. Amelino-Camelia, Relativity in spacetimes with short distance structure governed by an observer independent (Planckian) length scale, Int. J. Mod. Phys. D11, 35-60 (2002).
    • (2002) Int. J. Mod. Phys. , vol.D11 , pp. 35-60
    • Amelino-Camelia, G.1
  • 3
    • 0001187606 scopus 로고
    • Consistent couplings between fields with a gauge freedom and deformations of the master equation
    • G. Barnich and M. Henneaux, Consistent couplings between fields with a gauge freedom and deformations of the master equation, Phys. Lett. B311, 123-129 (1993).
    • (1993) Phys. Lett. , vol.B311 , pp. 123-129
    • Barnich, G.1    Henneaux, M.2
  • 4
    • 0001666239 scopus 로고
    • On the rigidity of solvable Lie algebras
    • eds. M. Hazewinkel and M. Gerstenhaber Kluwer Academic Publishers
    • J. M. Ancochea, Bermudez, On the rigidity of solvable Lie algebras, in Deformation Theory of Algebras and Structures and Applications, eds. M. Hazewinkel and M. Gerstenhaber (Kluwer Academic Publishers, 1988), pp. 403-445.
    • (1988) Deformation Theory of Algebras and Structures and Applications , pp. 403-445
    • Ancochea, J.M.1    Bermudez2
  • 5
    • 16744368614 scopus 로고    scopus 로고
    • Non-commutative space-time and the uncertainty principle
    • E. Carlen and R. Vilela Mendes, Non-commutative space-time and the uncertainty principle, Phys. Lett. A290, 109-114 (2001).
    • (2001) Phys. Lett. , vol.A290 , pp. 109-114
    • Carlen, E.1    Vilela Mendes, R.2
  • 6
    • 84968475636 scopus 로고
    • Cohomology theory of Lie groups and Lie algebras
    • C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Am. Math. Soc. 63, 85-124 (1948).
    • (1948) Trans. Am. Math. Soc. , vol.63 , pp. 85-124
    • Chevalley, C.1    Eilenberg, S.2
  • 7
    • 0035961416 scopus 로고    scopus 로고
    • Lie superalgebra, stability and branes
    • C. Chryssomalakos, Lie superalgebra, stability and branes, Mod. Phys. Lett. A16, 197-210 (2001).
    • (2001) Mod. Phys. Lett. , vol.A16 , pp. 197-210
    • Chryssomalakos, C.1
  • 9
    • 11244341267 scopus 로고    scopus 로고
    • Linear form of 3-scale relativity algebra and the relevance of stability
    • hep-th/0407080
    • C. Chryssomalakos and E. Okon, Linear form of 3-scale relativity algebra and the relevance of stability, Int. J. Mod. Phys. D13, 1817 (2004), hep-th/0407080.
    • (2004) Int. J. Mod. Phys. , vol.D13 , pp. 1817
    • Chryssomalakos, C.1    Okon, E.2
  • 11
    • 0002442975 scopus 로고
    • On the deformation of rings and algebras
    • M. Gerstenhaber, On the deformation of rings and algebras, Ann. Math. 79, 59-103 (1964).
    • (1964) Ann. Math. , vol.79 , pp. 59-103
    • Gerstenhaber, M.1
  • 12
    • 0002456318 scopus 로고
    • Algebraic cohomology and deformation theory
    • eds. M. Hazewinkel and M. Gerstenhaber Kluwer Academic Publishers
    • M. Gerstenhaber and S. D. Schack, Algebraic cohomology and deformation theory, in Deformation Theory of Algebras and Structures and Applications, eds. M. Hazewinkel and M. Gerstenhaber (Kluwer Academic Publishers, 1988), pp. 1-264.
    • (1988) Deformation Theory of Algebras and Structures and Applications , pp. 1-264
    • Gerstenhaber, M.1    Schack, S.D.2
  • 13
    • 0025186842 scopus 로고
    • Bialgebra cohomology, deformations, and quantum groups
    • M. Gerstenhaber and S. D. Schack, Bialgebra cohomology, deformations, and quantum groups, Proc. Nat. Acad. Sci. U.S.A. 87, 478-481 (1990).
    • (1990) Proc. Nat. Acad. Sci. U.S.A. , vol.87 , pp. 478-481
    • Gerstenhaber, M.1    Schack, S.D.2
  • 14
    • 14644392455 scopus 로고
    • Perturbations of Lie algebra structures
    • eds. M. Hazewinkel and M. Gerstenhaber Kluwer Academic Publishers
    • M. Goze, Perturbations of Lie algebra structures, in Deformation Theory of Algebras and Structures and Applications, eds. M. Hazewinkel and M. Gerstenhaber (Kluwer Academic Publishers, 1988), pp. 265-355.
    • (1988) Deformation Theory of Algebras and Structures and Applications , pp. 265-355
    • Goze, M.1
  • 15
    • 0002835016 scopus 로고    scopus 로고
    • Consistent interactions between gauge fields: The cohomological approach
    • M. Henneaux, Consistent interactions between gauge fields: The cohomological approach, Contemp. Math. 219, 93 (1998).
    • (1998) Contemp. Math. , vol.219 , pp. 93
    • Henneaux, M.1
  • 16
    • 0001363446 scopus 로고
    • Cohomology of Lie algebras
    • G. Hochschild and J.-P. Serre, Cohomology of Lie algebras, Ann. Math. 57, 591-603 (1953).
    • (1953) Ann. Math. , vol.57 , pp. 591-603
    • Hochschild, G.1    Serre, J.-P.2
  • 18
    • 0004293970 scopus 로고
    • Dover Publications, New York
    • N. Jacobson, Lie Algebras (Dover Publications, New York, 1979).
    • (1979) Lie Algebras
    • Jacobson, N.1
  • 19
    • 4344591137 scopus 로고    scopus 로고
    • Relativistic invariant Lie algebras for kinematical observables in quantum spacetime
    • V. V. Khruschev and A. N. Leznov, Relativistic invariant Lie algebras for kinematical observables in quantum spacetime, Grav. Cosmol. 9, 159 (2003).
    • (2003) Grav. Cosmol. , vol.9 , pp. 159
    • Khruschev, V.V.1    Leznov, A.N.2
  • 25
    • 0000776222 scopus 로고
    • Bicrossproduct structure of κ-Poincaré group and noncommutative geometry
    • S. Majid and H. Ruegg, Bicrossproduct structure of κ- Poincaré group and noncommutative geometry, Phys. Lett. B334, 348-354 (1994).
    • (1994) Phys. Lett. , vol.B334 , pp. 348-354
    • Majid, S.1    Ruegg, H.2
  • 27
    • 21844510392 scopus 로고
    • Deformations, stable theories and fundamental constants
    • R. Vilela Mendes, Deformations, stable theories and fundamental constants, J. Phys. A27, 8091-8104 (1994).
    • (1994) J. Phys. , vol.A27 , pp. 8091-8104
    • Vilela Mendes, R.1
  • 28
    • 0033632391 scopus 로고    scopus 로고
    • Geometry, stochastic calculus, and quantum fields in a noncommutative space-time
    • R. Vilela Mendes, Geometry, stochastic calculus, and quantum fields in a noncommutative space-time, J. Math. Phys. 41, 156-186 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 156-186
    • Vilela Mendes, R.1
  • 29
    • 84968476159 scopus 로고
    • Cohomology and deformations in graded Lie algebras
    • A. Nijenhuis and R. W. Richardson, Cohomology and deformations in graded Lie algebras, Bull. Amer. Math. Soc. 72, 1-29 (1966).
    • (1966) Bull. Amer. Math. Soc. , vol.72 , pp. 1-29
    • Nijenhuis, A.1    Richardson, R.W.2
  • 30
    • 0002709811 scopus 로고
    • Deformations of Lie algebra structures
    • A. Nijenhuis and R. W. Richardson, Deformations of Lie algebra structures, J. Math. and Mech. 17, 89-105 (1967).
    • (1967) J. Math. and Mech. , vol.17 , pp. 89-105
    • Nijenhuis, A.1    Richardson, R.W.2
  • 31
    • 84972502074 scopus 로고
    • On the rigidity of semi-direct products of Lie algebras
    • R. W. Richardson, On the rigidity of semi-direct products of Lie algebras, Pac. J. Math. 22, 339-344 (1967).
    • (1967) Pac. J. Math. , vol.22 , pp. 339-344
    • Richardson, R.W.1
  • 33
    • 21344475455 scopus 로고
    • Bicovariant quantum algebras and quantum Lie algebras
    • P. Schupp, P. Watts and B. Zumino, Bicovariant quantum algebras and quantum Lie algebras, Commun. Math. Phys. 157, 305-330 (1993).
    • (1993) Commun. Math. Phys. , vol.157 , pp. 305-330
    • Schupp, P.1    Watts, P.2    Zumino, B.3
  • 35
    • 0002305960 scopus 로고
    • The electromagnetic field in quantized space-time
    • H. S. Snyder, The electromagnetic field in quantized space-time, Phys. Rev. 72, 68-71 (1947).
    • (1947) Phys. Rev. , vol.72 , pp. 68-71
    • Snyder, H.S.1
  • 36
    • 34347406191 scopus 로고
    • Quantized space-time
    • H. S. Snyder, Quantized space-time, Phys. Rev. 71, 38-41 (1947).
    • (1947) Phys. Rev. , vol.71 , pp. 38-41
    • Snyder, H.S.1
  • 37
    • 0038201535 scopus 로고    scopus 로고
    • Deformation theory and the Batalin-Vilkovisky master equation
    • eds. D. Sternheimer, J. Rawnsley and S. Gutt Kluwer Academic Publishers, Dordrecht
    • J. Stasheff, Deformation theory and the Batalin-Vilkovisky master equation, in Deformation Theory and Symplectic Geometry, eds. D. Sternheimer, J. Rawnsley and S. Gutt (Kluwer Academic Publishers, Dordrecht, 1997).
    • (1997) Deformation Theory and Symplectic Geometry
    • Stasheff, J.1
  • 38
    • 4243526421 scopus 로고
    • The BRST complex and the cohomology of compact Lie algebras
    • J. W. van Holten, The BRST complex and the cohomology of compact Lie algebras, Nucl. Phys. B339, 158-176 (1990).
    • (1990) Nucl. Phys. , vol.B339 , pp. 158-176
    • Van Holten, J.W.1
  • 39
    • 0002305964 scopus 로고
    • On quantized space-time
    • C. N. Yang, On quantized space-time, Phys. Rev. 72, 874 (1947).
    • (1947) Phys. Rev. , vol.72 , pp. 874
    • Yang, C.N.1


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