Fetching the paper…
Reading the bibliography…
We derive an explicit expression for the star product reproducing the $\kappa$-Minkowski Lie algebra in any dimension $n$.
J. E. Moyal, ”Quantum mechanics as a statistical theory,” Proc. Cambridge Phil. Soc. 45
1949
Earlier work this paper cites.
R. L. Stratonovich, ”On distributions in representation space”, Soviet Physics. JETP,4 (1957) 891
1957
Earlier work this paper cites.
1974
Earlier work this paper cites.
F. Berezin Quantization
1974
Earlier work this paper cites.
S. Gutt, ”An explicit ⋆ \star -product on the cotangent bundle of a Lie group”, Lett. Math. Phys. 7 (1983) 249–258
1983
Earlier work this paper cites.
E. Witten, ”Noncommutative Geometry And String Field Theory”, Nucl. Phys. B 268 (1986) 253
1986
Earlier work this paper cites.
J. Hoppe, ”Quantum theory of a massless relativistic surface and a two-dimensional bound state problem”, Ph.D. thesis, MIT, 1982; published in Soryushiron Kenkyu 80 , 145-202 (1989). R. L. Stratonovich, ”On distributions in representation space” Sov. Phys. JETP 4 , 891 (1957). J. C. Varilly and J. M. Gracia-Bondía, ”The Moyal representation for spin”, Ann. Phys. 190, 107 (1989)
1989
Earlier work this paper cites.
V. G. Drinfel’d, “Quantum groups”, in Proc. Int. Cong. Math. Vols. 1, 2 (Berkeley, 1986), AMS, Providence, RI, 1987, 798- 820. V. G. Drinfel’d, ”Quasi-Hopf algebras”, Leningrad Math. J. 1 (1989), 1419-1457
1989
Earlier work this paper cites.
L. A. Takhtadzhyan, ”Lectures on quantum groups”, in Nankai Lectures on Mathematical Physics, Mo-Lin-Ge and Bao-Heng Zhao, Editors World Scientific (1989)
1989
Earlier work this paper cites.
A. Voros, ”Wentzel-Kramers-Brillouin method in the Bargmann representation”, Phys. Rev. A 40
1989
Earlier work this paper cites.
J. Lukierski, A. Nowicki, H. Ruegg, V.N. Tolstoy, ”q-deformation of Poincare algebra” ,Phys. Lett. B 264, 331 (1991);
1991
Earlier work this paper cites.
J. Madore, J. Math. Phys. 32 (1991) 332; H. Grosse and J. Madore, Phys. Lett. B 283 (1992) 218
1992
Earlier work this paper cites.
A. Connes, ”Noncommutative Geometry”, Academic Press Inc., San Diego (1994), available at http://www.alainconnes.org/downloads.html
1994
Earlier work this paper cites.
S. Majid, H. Ruegg, ”Bicrossproduct structure of κ \kappa -Poincare group and non-commutative geometry”, Phys. Lett. B 334, 348 (1994) [arXiv:hep-th/9405107];
1994
Earlier work this paper cites.
S. Zakrzewski, ”Quantum Poincare group related to the kappa -Poincare algebra”, J. Phys. A 27, 2075 (1994);
1994
Earlier work this paper cites.
V. I. Man’ko, G. Marmo, P. Vitale, F. Zaccaria “A Generalization of the Jordan-Schwinger map: Classical version and its q deformation,” Int. J. Mod. Phys. A 9
1994
Earlier work this paper cites.
Ogievetsky, O., ”Hopf structures on the Borel subalgebra of s l ( 2 ) sl(2) .” Proceedings of the Winter School ”Geometry and Physics”. Palermo: Circolo Matematico di Palermo, 1994. [185]-199
1994
Earlier work this paper cites.
S. Doplicher, K. Fredenhagen, J.E. Roberts, Spacetime quantization induced by classical gravity, Phys. Lett. B
1995
Earlier work this paper cites.
G. Dito, ”Kontsevich star product on the dual of a Lie algebra”, Lett. Math. Phys. 48 (1999) 307–322
1999
Cited alongside, same era.
P. Kosinski, J. Lukierski and P. Maslanka, ”Local D = 4 field theory on kappa deformed Minkowski space”, Phys. Rev. D 62
2000
Cited alongside, same era.
G. Felder and B. Shoikhet, Deformation quantization with traces, Lett. Math. Phys. 53, 75–86 (2000), [math.QA/0002057]
2000
Cited alongside, same era.
For reviews see e.g: A. Connes and M. Marcolli, ”A walk in the noncommutative garden”, (2006), available at http://www.alainconnes.org/downloads.html; G. Landi, ”An introduction to noncommutative spaces and their geometries”, Lectures notes in physics, Springer-Verlag (Berlin, Heidelberg) (1997) [arxiv:hep-th/9701078]; J. M. Gracia-Bondía, J. C. Várilly and H. Figueroa, ”Elements of Noncommutative Geometry”, Birkhaüser Advanced Texts, Birkhaüser Boston, Basel, Berlin (2001)
2001
Cited alongside, same era.
For a review see e.g A. P. Balachandran, S. Kurkcuoglu, S. Vaidya , ”Lectures on Fuzzy and Fuzzy SUSY Physics” World Scientific Publishing (2007) Singapore, ISBN: 978-981-270-466-5, [arXiv:hep-th/0511114] and references therein
2007
Later among the works it cites.
V.N. Tolstoy, Invited talk at the VII International Workshop Lie Theory and its Applications in Physics
2007
Later among the works it cites.
2008
Later among the works it cites.
Bu J G, Kim H C, Lee Y., Vac C H, Yee J H ”kappa-deformed Spacetime From Twist”, Phys. Lett. B 665
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
N. R. Bruno, G. Amelino-Camelia and J. Kowalski-Glikman, ”Deformed boost transformations that saturate at the Planck scale”, Phys. Lett. B 522
2001
Cited alongside, same era.
J. M. Gracia-Bondía, F. Lizzi, G. Marmo and P. Vitale, ”Infinitely many star products to play with”, J. High Energy Phys. 0204
2002
Cited alongside, same era.
A. B. Hammou, M. Lagraa and M. M. Sheikh-Jabbari, ”Coherent state induced star product on R**3(lambda) and the fuzzy sphere”, Phys. Rev. D 66
2002
Cited alongside, same era.
M. Kontsevich, ”Deformation quantization of Poisson manifolds, I” Lett. Math. Phys.66, 157 (2003) [arXiv:q-alg/9709040]
2003
Cited alongside, same era.
J. Madore, S. Schraml, P. Schupp and J. Wess, ”Gauge theory on noncommutative spaces”, Eur. Phys. J. C 16
2003
Cited alongside, same era.
J. Magueijo and L. Smolin, ”Lorentz invariance with an invariant energy scale”, Phys. Rev. Lett. 88
2003
Cited alongside, same era.
M. Dimitrijevic, L. Jonke, L. Moller, E. Tsouchnika, J. Wess and M. Wohlgenannt, ”Deformed field theory on kappa space-time”, Eur. Phys. J. C 31
2003
Cited alongside, same era.
M. Dimitrijevic, F. Meyer, L. Moller and J. Wess, ”Gauge theories on the kappa Minkowski space-time”, Eur. Phys. J. C 36
2004
Cited alongside, same era.
2008
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2010
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
V.G. Kupriyanov, ”Hydrogen atom on curved noncommutative space”, J.Phys. A: Math. Theor. 46
2013
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2015
Closest in time.