Fetching the paper…
Reading the bibliography…
In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincar\'e, which describe the symmetries of the three maximally symmetric spacetimes.
1974
Earlier work this paper cites.
E. A. Kearsley and J. Fong, “Linearly independent sets of isotropic Cartesian tensors of ranks up to eight,” J. Res. Natl Bureau of Standards Part B: Math. Sci. B
1975
Earlier work this paper cites.
V. Drinfel’d, “Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang–Baxter equations,” Soviet Math. Dokl
1983
Earlier work this paper cites.
J. Lukierski, H. Ruegg, A. Nowicki, and V. N. Tolstoy, “q-deformation of Poincaré algebra,” Phys. Lett
1991
Earlier work this paper cites.
M. Semenov-Tyan-Shanskii, “Poisson-Lie groups. The quantum duality principle and the twisted quantum double,” Theor. Math. Phys
1992
Earlier work this paper cites.
S. Majid and H. Ruegg, “Bicrossproduct structure of κ \kappa -Poincaré group and non-commutative geometry,” Phys. Lett
1994
Earlier work this paper cites.
J. Lukierski and H. Ruegg, “Quantum κ \kappa -Poincaré in any dimension,” Phys. Lett
1994
Earlier work this paper cites.
A. Ballesteros, F. Herranz, M. Del Olmo, and M. Santander, “Four-dimensional quantum affine algebras and space–time q-symmetries,” J. Math. Phys
1994
Earlier work this paper cites.
Á. Ballesteros, F. J. Herranz, M. A. Del Olmo, and M. Santander, “Quantum (2+1) kinematical algebras: a global approach,” J. Phys
1994
Earlier work this paper cites.
Cambridge university press, 1995
V. Chari and A. N. Pressley, A guide to quantum groups · 1995
Earlier work this paper cites.
Á. Ballesteros, N. A. Gromov, F. Herranz, M. Del Olmo, and M. Santander, “Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras,” J. Math. Phys
1995
Earlier work this paper cites.
A. Ballesteros, F. Herranz, M. Del Olmo, and M. Santander, “A new “null-plane” quantum Poincaré algebra,” Phys. Lett
1995
Earlier work this paper cites.
F. Bidegain and G. Pinczon, “Quantization of Poisson-Lie groups and applications,” Commun. Math. Phys
1996
Earlier work this paper cites.
S. Zakrzewski, “Poisson structures on the Poincaré group,” Commun. Math. Phys
1997
Earlier work this paper cites.
P. Aschieri, “On the geometry of the quantum Poincare group,” Nucl.Phys.Proc.Suppl
1997
Earlier work this paper cites.
H.-J. Matschull and M. Welling, “Quantum mechanics of a point particle in-dimensional gravity,” Class. Quantum Grav
1998
Cited alongside, same era.
P. Stachura, “Poisson-Lie structures on Poincaré and Euclidean groups in three dimensions,” J. Phys. A
1998
Cited alongside, same era.
N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP
1999
Cited alongside, same era.
P. Watts, “Noncommutative string theory, the R matrix, and Hopf algebras,” Phys. Lett
2000
Cited alongside, same era.
Cambridge university press, 2000
S. Majid, Foundations of quantum group theory · 2000
Cited alongside, same era.
G. Amelino-Camelia and S. Majid, “Waves on noncommutative space–time and gamma-ray bursts,” Int. J. Mod. Phys
2000
PhD thesis, Sapienza University of Rome, 2010
F. Mercati, A perspective on the theory and phenomenology of quantum spacetime · 2010
Later among the works it cites.
Springer Science & Business Media, 2012
C. Laurent-Gengoux, A. Pichereau, and P. Vanhaecke, Poisson structures · 2012
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
G. Gubitosi and F. Mercati, “Relative locality in κ \kappa -Poincaré,” Class. Quantum Grav
2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
P. Kosiński, J. Lukierski, and P. Maślanka, “ κ \kappa -deformed Wigner construction of relativistic wave functions and free fields on κ \kappa -Minkowski space,” Nucl.Phys.Proc.Suppl
2001
Cited alongside, same era.
Cambridge University Press, 2002
S. Majid, A quantum groups primer · 2002
Cited alongside, same era.
G. Amelino-Camelia, “Relativity in spacetimes with short-distance structure governed by an observer-independent (Planckian) length scale,” Int. J. Mod. Phys
2002
Cited alongside, same era.
J. Lukierski and A. Nowicki, “Doubly special relativity versus κ \kappa -deformation of relativistic kinematics,” Int. J. of Mod. Phys
2003
Cited alongside, same era.
F. Girelli, E. R. Livine, and D. Oriti, “Deformed special relativity as an effective flat limit of quantum gravity,” Nucl. Phys
2005
Cited alongside, same era.
L. Freidel and E. R. Livine, “3D quantum gravity and effective noncommutative quantum field theory,” Phys. Rev. Lett
2006
Cited alongside, same era.
2016
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
Á. Ballesteros, N. R. Bruno, and F. J. Herranz, “Noncommutative Relativistic Spacetimes and Worldlines from 2 + 1 Quantum (Anti-)de Sitter Groups,” Adv. High Energy Phys
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Closest in time.