Fetching the paper…
Reading the bibliography…
Following the recently obtained complete classification of quantum-deformed $\mathfrak{o}(4)$, $\mathfrak{o}(3,1)$ and $\mathfrak{o}(2,2)$ algebras, characterized by classical $r$-matrices, we study their inhomogeneous $D = 3$ quantum IW contractions (i.e.
A. A. Belavin and V. G. Drinfeld, On the solutions of the classical Yang-Baxter equations for simple Lie algebras
1982
Earlier work this paper cites.
V. G. Drinfel’d, Hamiltonian structure on Lie groups and the geometric meaning of the classical Yang-Baxter equation
1983
Earlier work this paper cites.
A. Achúcarro and P. K. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories
1986
Earlier work this paper cites.
J. Lukierski and A. Nowicki, Quaternionic supergroups and D = 4 D=4 Euclidean extended supersymmetries
1986
Earlier work this paper cites.
S. Majid, Hopf algebras for physics at the Planck scale
1988
Earlier work this paper cites.
E. Witten, 2+1 dimensional gravity as an exactly soluble system
1988
Earlier work this paper cites.
J. Lukierski, H. Ruegg, A. Nowicki and V. N. Tolstoy, q-deformation of Poincaré algebra
1991
Earlier work this paper cites.
J. Lukierski, A. Nowicki and H. Ruegg, New quantum Poincaré algebra and κ \kappa -deformed field theory
1992
Earlier work this paper cites.
S. Zakrzewski, Poisson structures on the Lorentz group
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
1995
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A Status report
1995
Earlier work this paper cites.
S. Majid, “Foundations of Quantum Group Theory,” Cambridge Univ. Press 1995
1995
Earlier work this paper cites.
P. Etingof and D. Kazhdan, Quantization of Lie bialgebras, I
1996
Earlier work this paper cites.
S. Zakrzewski, Poisson Structures on the Poincaré Group
1997
Earlier work this paper cites.
P. Stachura, Poisson-Lie structures on Poincaré and Euclidean groups in three dimensions
1998
Cited alongside, same era.
H. J. Matschull and M. Welling, Quantum mechanics of a point particle in (2+1)-dimensional gravity
1998
Cited alongside, same era.
V. V. Fock and A. A. Rosly, Poisson structure on moduli of flat connections on Riemann surfaces and r r -matrix
1999
Cited alongside, same era.
L. Snobl and L. Hlavaty, Classification of six-dimensional real Drinfeld doubles
2002
Cited alongside, same era.
C. Meusburger and B. J. Schroers, Poisson structure and symmetry in the Chern-Simons formulation of (2+1)-dimensional gravity
2003
Cited alongside, same era.
C. Meusburger and B. J. Schroers, The quantisation of Poisson structures arising in Chern-Simons theory with gauge group G ⋉ 𝔤 ∗ G\ltimes\mathfrak{g}^{*}
A. Ballesteros, F. J. Herranz and C. Meusburger, Drinfeld doubles for (2+1)-gravity
2013
Later among the works it cites.
2014
Later among the works it cites.
J. Kowalski-Glikman and T. Trześniewski, Deformed Carroll particle from 2+1 gravity
2014
Later among the works it cites.
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2003
Cited alongside, same era.
J. Lukierski and V. D. Lyakhovsky, Two-parameter extensions of the κ \kappa -Poincaré quantum deformation
2005
Cited alongside, same era.
A. Borowiec, J. Lukierski and V. N. Tolstoy, Jordanian quantum deformations of D = 4 D=4 anti-de Sitter and Poincaré superalgebras
2005
Cited alongside, same era.
C. Meusburger and B. J. Schroers, Phase space structure of Chern-Simons theory with a non-standard puncture
2006
Cited alongside, same era.
A. Borowiec, J. Lukierski and V. N. Tolstoy, Jordanian twist quantization of D=4 Lorentz and Poincaré algebras and D=3 contraction limit
2006
Cited alongside, same era.
T. Thiemann, “Modern Canonical Quantum General relativity,” Cambridge Univ. Press 2007
2007
Cited alongside, same era.
V. N. Tolstoy, Twisted Quantum Deformations of Lorentz and Poincaré algebras
2008
Cited alongside, same era.
2016
Later among the works it cites.
2016
Later among the works it cites.
2017
Later among the works it cites.
J. Lukierski and V. N. Tolstoy, Quantizations of D = 3 D=3 Lorentz symmetry
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
T. Trześniewski, Effective Chern-Simons actions of particles coupled to 3D gravity
2018
Later among the works it cites.