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Translation-invariant products are studied in the setting of alpha^star-cohomology.
H. Weyl, The Theory of Groups and Quantum Mechanics , Dover, New York, 1931
1931
Earlier work this paper cites.
E. P. Wigner, On the Quantum Corrections for Thermodynamic Equilibrium , Phys. Rev. 40: 749-759, 1932
1932
Earlier work this paper cites.
E. Schrodinger, Uber die Unanwendbarkeit der Geometrie im Kleinen , Naturwiss. 22: 518-520, 1934
1934
Earlier work this paper cites.
W. Heisenberg, Uber die in der Theorie der Elementarteilchen Auftretende Universelle Lange , Ann. Phys. 32: 20-33, 1938
1938
Earlier work this paper cites.
H. J. Groenewold, On the Principles of Elementary Quantum Mechanics , Physica 12: 405-460, 1946
1946
Earlier work this paper cites.
H. S. Snyder, Quantized Space-time , Phys. Rev. 71: 38-41, 1947
1947
Earlier work this paper cites.
H. S. Snyder, The Electromagnetic Field in Quantized Space-time , Phys. Rev. 72: 68-71, 1947
1947
Earlier work this paper cites.
J. E. Moyal, Quantum Mechanics as a Statistical Theory , Proc. Cambridge Phil. Soc. 45: 99-124, 1949
1949
Earlier work this paper cites.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers , Oxford, 1954
1954
Earlier work this paper cites.
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Deformation Theory and Quantization I. Deformation of Symplectic Structures , Ann. Phys. NY, 111: 61-110, 1978
1978
Earlier work this paper cites.
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Deformation Theory and Quantization II. Physical Applications , Ann. Phys. NY, 111: 111-151, 1978
1978
Earlier work this paper cites.
F. Bayen, In Group theoretical Methods in Physics , ed. E. Beiglbouk et. al., Lect. Notes Phys. 94: 260-271, 1979
1979
Earlier work this paper cites.
F. W. Warner, Foundations of Differentiable Manifolds and Lie Groups , Graduated Texts in Mathematics 94, Springer-Verlag, 1983
1983
Earlier work this paper cites.
E. Witten, Noncommutative Geometry and String Field Theory , Nucl. Phys. B268: 253-294, 1986
1986
Earlier work this paper cites.
G. Veneziano, A String Nature Needs Just Two Constants , Europhys. Lett. 2: 199-204, 1986
1986
Earlier work this paper cites.
D. J. Gross and P. F. Mende, String Theory Beyond the Planck Scale , Nucl. Phys. B303: 407-457, 1988
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Can Spacetime be Probed Below the String Size? , Phys. Lett. B216: 41-47, 1989
1989
Cited alongside, same era.
A. Voros, Wentzler-Kramers-Brillouin method in the Bargmann representation , Phys. Rev. A 40: 6814-6825, 1989
1989
Cited alongside, same era.
N. Reshetikhin, L. Takhtadzhyan and L. Faddeev, Quantization of Lie Groups and Lie Algebras , Leningrad Math. J. 1: 193-225, 1990
1990
Cited alongside, same era.
J. Madore, The Commutative Limit of a Matrix Geometry , J. Math. Phys. 32: 332-335, 1991
1991
Cited alongside, same era.
J. Madore, The Fuzzy Sphere , Class. Quantum Grav. 9: 69-87, 1992
1992
Cited alongside, same era.
M. A. Rieffel, Deformation Quantizations for Actions of R d R^{d} , Mem. Am. Math. Soc. 106, no. 506, 93 pages, 1993
S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative Perturbation Dynamics , JHEP, no. 02, 020, 31 pages, 2000 [arXiv:hep-th/9912072]
2000
Later among the works it cites.
M. Hayakawa, Perturbative Analysis on Infrared Aspects of Noncommutative QED on R 4 R^{4} , Phys. Lett. B478: 394-400, 2000 [arXiv:hep-th/9912094]
2000
Later among the works it cites.
M. Hayakawa, Perturbative Analysis on Infrared and Ultraviolet Aspects of Noncommutative QED on R 4 R^{4} , Osaka 2000, High Energy Physics, vol. 2: 1455-1460 [arXiv:hep-th/9912167]
2000
Later among the works it cites.
H. Grosse, T. Krajewski and R. Wulkenhaar, Renormalization of Noncommutative Yang-Mills theories: A Simple Example , 2000 [arXiv:hep-th/0001182]
2000
Later among the works it cites.
A. Matusis, L. Susskind and N. Toumbas, The IR/UV Connection in the Non-commutative Gauge theories , JHEP, no. 12, 002, 18 pages, 2000 [arXiv:hep-th/0002075]
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1993
Cited alongside, same era.
S. Majid and H. Ruegg, Bicrossproduct Structure of κ \kappa -Poincare Group and Non-commutative Geometry , Phys. Lett. B 334: 348-354, 1994 [arXiv:hep-th/9405107]
1994
Cited alongside, same era.
J. Polchinski, Dirichlet Branes and Ramond-Ramond Charges , Phys. Rev. Lett. 75: 4724, 1995 [arXiv:hep-th/9510017]
1995
Cited alongside, same era.
C. Kassel, Quantum Groups , Graduated Texts in Mathematics 155, Springer-Velag, New York,1995
1995
Cited alongside, same era.
E. Witten, Bound States of Strings and p-Branes , Nucl. Phys. B460: 33, 1996 [arXiv:hep-th/9510135]
1996
Cited alongside, same era.
T. Filk, Divergencies in a Field Theory on Quantum Space , Phys. Lett. B376: 53-58, 1996
1996
Cited alongside, same era.
M. Bordemann and S. Waldmann, A Fedosov star product of Wick type for Kahler Manifolds , Lett. Math. Phys. 41, 243-253, 1997 [arXiv:q-alg/9605012]
1997
Cited alongside, same era.
2000
Later among the works it cites.
H. Grosse and R. Wulkenhaar, Renormalization of ϕ 4 \phi^{4} -Theory on Noncommutative R 2 R^{2} in the Matrix Base , JHEP, no. 12, 019, 26 pages, 2003 [arXiv:hep-th/0307017]
2003
Later among the works it cites.
M. Dimitrijevic, L. Jonke, L. Moller, E. Tsouchnika, J. Wess and M. Wohlgenannt, Deformed Field Theory on κ \kappa -Spacetime , Eur. Phys. J. C 31: 129-138, 2003 [arXiv:hep-th/0307149]
2003
Later among the works it cites.
H. Grosse and R. Wulkenhaar, Renormalization of ϕ 4 \phi^{4} -Theory on Noncommutative R 4 R^{4} in the Matrix Base , Commun. Math. Phys. 256: 305-374, 2005 [arXiv:hep-th/0401128]
2005
Later among the works it cites.
A. Connes and M. Marcolli, Noncommutative Geometry, Quantum Fields and Motives , American Mathematical Society, Hindustan Book Agency, 2007
2007
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2009
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2009
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2010
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2010
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2011
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