Fetching the paper…
Reading the bibliography…
For a noncommutative configuration space whose coordinate algebra is the universal enveloping algebra of a finite dimensional Lie algebra, it is known how to introduce an extension playing the role of the corresponding noncommutative phase space, namely by adding the commuting deformed derivatives in a consistent and nontrivial way, therefore obtaining certain deformed Heisenberg algebra.
Takeuchi, M.: Groups of algebras over
1977
Earlier work this paper cites.
Postnikov M. M.: Lie groups and Lie algebras (Lectures in geometry: Semester 5), Mir Publishers, Moscow 1988
1988
Earlier work this paper cites.
Bourbaki N.: Lie groups and algebras, Ch. I-III, Hermann, Paris, 1971 (Ch.I), 1972 (Ch.II-III) (in French); Springer 1975, 1989 (Ch. I-III, in English)
1989
Earlier work this paper cites.
Lukierski J., Nowicki A., Ruegg H., Tolstoy V. N.:
1991
Earlier work this paper cites.
Lu J-H.: Hopf algebroids and quantum groupoids, Int. J. Math. 7 (1996) 47–70; arXiv:q-alg/9505024
1996
Earlier work this paper cites.
Lukierski J., Nowicki A.: Heisenberg double description of
1997
Earlier work this paper cites.
Helgason S.: Differential geometry, Lie groups and symmetric spaces, Acad. Press 1978; Amer. Math. Soc. 2001
2001
Earlier work this paper cites.
Xu, P.: Quantum groupoids, Commun. Math. Phys., 216:539–581 (2001) arXiv:q-alg/9905192
2001
Earlier work this paper cites.
Amelino-Camelia G., Arzano M.: Coproduct and star product in field theories on Lie-algebra non-commutative space-times, Phys. Rev. D65:084044 (2002) arXiv:hep-th/0105120
2002
Cited alongside, same era.
Brzeziński T., Militaru G.: Bialgebroids,
2002
Cited alongside, same era.
Brzeziński T., Wisbauer R.: Corings and comodules. London Math. Soc. Lect. Note Ser. 309, Cambridge Univ. Press 2003
2003
Cited alongside, same era.
Kontsevich M.: Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003), no. 3, 157–216; arXiv:q-alg/9709040
2003
Cited alongside, same era.
Böhm G., Szlachányi K.: Hopf algebroids with bijective antipodes: axioms, integrals and duals, Comm. Alg. 32 (11) (2004) 4433–4464; math.QA/0305136
2004
Cited alongside, same era.
Durov N., Meljanac S., Samsarov A., Škoda Z.: A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra, J. Alg. 309, n. 1, 318–359 (2007) arXiv:math.RT/0604096
2007
Later among the works it cites.
Govindarajan T. R., Gupta K. S., Harikumar E., Meljanac S., Meljanac D., Twisted statistics in
2008
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Böhm G.: Internal bialgebroids, entwining structures and corings, AMS Contemp. Math. 376 (2005) 207–226; arXiv:math.QA/0311244
2005
Cited alongside, same era.
Halliday S., Szabo R. J.: Noncommutative field theory on homogeneous gravitational waves, J. Phys. A39 (2006) 5189–5226; arXiv:hep-th/0602036
2006
Cited alongside, same era.
Cartier P.: A primer of Hopf algebras, in: Frontiers in Number Theory, Physics, and Geometry II, ed. P. Cartier et al. Springer 2007, 537–615
2007
Cited alongside, same era.
Borel É.: Sur quelques points de la théorie des fonctions, Annales Scientifiques de l’École Normale Supérieure, Sér. 3, 12 (1895) 9–55
Cited in the paper.
Cited in the paper.
Cited in the paper.
Stojić Martina: Completed Hopf algebroids (in Croatian: Upotpunjeni Hopfovi algebroidi), Ph.D. thesis, University of Zagreb, in preparation
Cited in the paper.
2011
Later among the works it cites.
Jurić T., Meljanac S., Štrajn R.:
2013
Later among the works it cites.
Jurić T., Kovačević D., Meljanac S.,
2014
Closest in time.