Fetching the paper…
Reading the bibliography…
The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure.
P. Aschieri, M. Dimitrijević, F. Meyer, J. Wess, “Noncommutative Geometry and Gravity”, Class.Quant.Grav. 23 (2006) 1883-1912, arXiv:hep-th/0510059
1912
Earlier work this paper cites.
1936
Earlier work this paper cites.
1944
Earlier work this paper cites.
V. G. Drinfeld, “Hopf algebras and the quantum Yang-Baxter equation,” Soviet Math. Dokl. 32, 254 (1985)
1985
Earlier work this paper cites.
V. G. Drinfeld, “Quasi Hopf algebras,” Alg. Anal. 1:6, 114 (1989) (Leningrad Math. J. 1:6, 1419 (1990))
1990
Earlier work this paper cites.
J. Lukierski, A. Nowicki, H. Ruegg and V. N. Tolstoy, “Q-deformation of Poincaré algebra”, Phys. Lett. B 2
1991
Earlier work this paper cites.
J. Lukierski, A. Nowicki and H. Ruegg, “New quantum Poincaré algebra, and κ \kappa -deformed field theory”, Phys. Lett. B 2
1992
Earlier work this paper cites.
S. Doplicher, K. Fredenhagen and J. E. Roberts, Phys. Lett. B331 (1994) 39
1994
Earlier work this paper cites.
J. Lukierski and H. Ruegg, “Quantum κ \kappa -Poincaré in any dimension”, Phys. Lett. B 3
1994
Earlier work this paper cites.
S. Majid and H. Ruegg, “Bicrossproduct structure of κ \kappa -Poincaré group and noncommutative geometry”, Phys. Lett. B 3
1994
Earlier work this paper cites.
J. Lukierski, H. Ruegg, V. N. Tolstoy, A. Nowicki, “Twisted Classical Poincaré Algebras” , J.Phys.A27:2389-2400, (1994), arXiv:hep-th/9312068
1994
Earlier work this paper cites.
S. Doplicher, K. Fredenhagen and J. E. Roberts, “The quantum structure of spacetime at the Planck scale and quantum fields”, Comm. Math. Phys. Volume 172, Number 1 (1995), 187-220
1995
Earlier work this paper cites.
S. Majid, Foundations of Quantum Group Theory
1995
Earlier work this paper cites.
C. Kassel, “Quantum Groups”, Springer-Verlag, 1995
1995
Earlier work this paper cites.
J.H. Lu, “Hopf algebroids and quantum groupoids”, Internat. J. Math. 7 (1996)
1996
Earlier work this paper cites.
A. Kempf and G. Magnano, “Minimal Length Uncertainty Relation and Ultraviolet Regularisation”, Phys. Rev. D 55, 7909 (1997); hep-th/9612084
1997
Earlier work this paper cites.
N. Seiberg and E. Witten, “String Theory and Noncommutative Geometry” ,JHEP 09, 032 (1999); hep-th/9908142
1999
Earlier work this paper cites.
Gambini, Pulin, “Nonstandard optics from quantum space-time”, Phys. Rev. D 59 (1999)
1999
Earlier work this paper cites.
S. Minwalla, M. Van Raamsdonk, N. Seiberg, “Noncommutative Perturbative Dynamics”, JHEP 0002 (2000) 020, arXiv:hep-th/9912072
2000
Earlier work this paper cites.
P. Kosinski, J. Lukierski and P. Maslanka, “Local D=4 Field Theory on κ \kappa –Deformed Minkowski Space”, Phys. Rev. D 62
2000
Earlier work this paper cites.
M. R. Douglas, N. A. Nekrasov, “Noncommutative Field Theory”, Rev.Mod.Phys.73:977-1029,(2001), arXiv:hep-th/0106048
2001
Earlier work this paper cites.
G. Amelino-Camelia, “Testable scenario for relativity with minimum-length”, Phys. Lett. B 510
2001
Earlier work this paper cites.
P. Xu, “Quantum Groupoids”, Commun. Math. Phys. 216, 539-581 (2001)
2001
Earlier work this paper cites.
G. Amelino-Camelia, T. Piran, “Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV- γ \gamma paradoxes”, Phys. Rev. D 64, (2001), arXiv:astro-ph/0008107
2001
Earlier work this paper cites.
J. Kowalski-Glikman and S. Nowak, “Double special relativity theories as different bases of kappa-Poincaré algebra”, Phys. Lett. B 539
2002
Earlier work this paper cites.
G. Amelino-Camelia, “Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale”, Int. J. Mod. Phys. D 1
2002
Earlier work this paper cites.
J. de Boer, P. A. Grassi and P. van Nieuwenhuizen, “Non-commutative superspace from string theory”, Phys. Lett. B 574, 98 (2003)
2003
Earlier work this paper cites.
H. Grosse and R. Wulkenhaar, “Renormalization of ϕ 4 \phi^{4} -theory on noncommutative R 2 R^{2} in the matrix base”, JHEP 0312(2003) 019, arXiv:hep-th/0307017
2003
Earlier work this paper cites.
R. J. Szabo, “Quantum Field Theory on Noncommutative Spaces”, Phys.Rept.378:207-299,(2003), arXiv:hep-th/0109162
2003
Earlier work this paper cites.
M. Dimitrijević, L. Jonke, L. Möller, E. Tsouchnika, J. Wess, M. Wohlgenannt, “Deformed Field Theory on kappa-spacetime”, Eur.Phys.J. C31 (2003) 129-138, arXiv:hep-th/0307149
2003
Earlier work this paper cites.
J. Kowalski-Glikman and S. Nowak, “Non-commutative space-time of doubly special relativity theories”, Int. J. Mod. Phys. D 12
2003
Earlier work this paper cites.
G. Amelino-Camelia, L. Smolin, A. Starodubtsev, “Quantum symmetry, the cosmological constant and Planck scale phenomenology”, Class. Quant. Grav. 21, 3095, (2004), arXiv:hep-th/0306134
2004
Cited alongside, same era.
L.Freidel, J. Kowalski-Glikman and L. Smolin, “2+1 gravity and doubly special relativity”, Phys. Rev. D 69 (2004) 044001, hep-th/0307085
2004
Cited alongside, same era.
M. Chaichian, P.P. Kulish, K. Nishijima, A. Tureanu, "On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT", Phys. Lett. B 604 (2004) 98-102, hep-th/0408069
2004
Cited alongside, same era.
J. Kowalski-Glikman, “Introduction to doubly special relativity”, Lect. Notes Phys. 669
2005
Cited alongside, same era.
P. Aschieri, C. Blohmann, M. Dimitrijević, F. Meyer, P. Schupp, J. Wess, “A Gravity Theory on Noncommutative Spaces”, Class.Quant.Grav. 22 (2005) 3511-3532, arXiv:hep-th/0504183
2009
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
L. Freidel and E.R. Livine, “Effective 3-D quantum gravity and non-commutative quantum field theory”, Phys. Rev. Lett. 96 (2006) 221301, hep-th/0512113
2006
Cited alongside, same era.
H. Grosse and M. Wohlgenannt, “On κ \kappa -Deformation and UV/IR Mixing”, Nucl.Phys. B748 (2006) 473-484, arXiv:hep-th/0507030
2006
Cited alongside, same era.
S. Meljanac and M. Stojić, “New realizations of Lie alegbra kappa-deformed Euclidean space”, Eur. Phys. J. C 47
2006
Cited alongside, same era.
S. Meljanac, S. Krešić-Jurić and M. Stojić, “Covariant realizations of kappa-deformed space”, Eur. Phys. J. C 51
2007
Cited alongside, same era.
M. Arzano and A. Marciano, “Symplectic geometry and Noether charges for Hopf algebra space-time symmetries”, Phys. Rev. D 76
2007
Cited alongside, same era.
B.P. Dolan, Kumar S. Gupta, A. Stern, “Noncommutative BTZ Black Hole and Discrete Time”, Class.Quant.Grav. 24:1647-1656, (2007), arXiv:hep-th/0611233
2007
Cited alongside, same era.
2008
Cited alongside, same era.
S. Hossenfelder, “Bounds on an energy-dependent and observer-independent speed of light from violations of locality”, Phys. Rev. Lett. 104, 140402 (2010)
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
A. Borowiec and A. Pachol, J. Phys. A: Math. Theor. 43 045203 (2010), [arXiv:hep-th/0903.5251]
2010
Later among the works it cites.
S. Meljanac and S. Krešić-Jurić, “Differential structure on κ \kappa -Minkowski space, and κ \kappa -Poincaré algebra”, Int. J. Mod. Phys. A 26
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
G. Amelino-Camelia, L. Freidel, J. Kowalski-Glikman, L. Smolin, "The principle of relative locality", Phys. Rev. D 84 (2011), 084010
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.
S. Meljanac, S. Krešić-Jurić and R. Štrajn, “Differential algebras on kappa-Minkowski space and action of the Lorentz algebra”, Int. J. Mod. Phys. A 27
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
2013
Closest in time.
2013
Closest in time.
2013
Closest in time.