On Space and Time by Alain Connes & Shahn Majid

Author:Alain Connes & Shahn Majid [Connes, Alain & Majid, Shahn]
Language: eng
Format: epub
Tags: Science, General, Cosmology, History, Physics, Time, Philosophy & Social Aspects
ISBN: 9780521889261
Google: Gj3jcwM891cC
Amazon: 1107641683
Publisher: Cambridge University Press
Published: 2008-09-24T16:00:00+00:00

BIBLIOGRAPHY

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Connes, A. (1994) Noncommutative Geometry, Academic Press.

Drinfeld, V. G. (1987) Quantum groups, in Proceedings of the ICM, American Mathematical Society.

Einstein, A. (1950) The Meaning of Relativity, Princeton University Press.

Gomez, X. and Majid, S. (2002) Noncommutative cohomology and electromagnetism on Cq[SL2] at roots of unity, Lett. Math. Phys. 60, 221–37.

Heisenberg, W. (1927) “Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik”, Zeitschrift für Physik 43, 172–198. English translation in J. A. Wheeler and H. Zurek, Quantum Theory and Measurement, Princeton University Press, 1983, pp. 62–84.

Lawvere, F. W. (1989) Intrinsic boundary in certain mathematical toposes exemplify ‘logical’ operators not passively preserved by substitution. Preprint, University of Buffalo.

Lyubashenko, V. and Majid, S. (1994) Braided groups and quantum Fourier transform, J. Algebra 166, 506–28.

Mac Lane, S. (1974) Categories for the Working Mathematician, Springer.

Majid, S. (1988a) The principle of representation-theoretic self-duality; later published Phys. Essays 4, 395–405.

Majid, S. (1988b) Non-commutative-geometric Groups by a Bicrossproduct Construction (PhD thesis, Harvard mathematical physics); Hopf algebras for physics at the Planck scale, J. Classical and Quantum Gravity 5, 1587–606; Physics for algebraists: non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction, J. Algebra 130, 17–64.

Majid, S. (1991) Representations, duals and quantum doubles of monoidal categories, Suppl. Rend. Circ. Mat. Palermo, Series II 26, 197–206.

Majid, S. and Ruegg, H. (1994) Bicrossproduct structure of the κ-Poincaré group and non-commutative geometry, Phys. Lett. B 334, 348–54.

Majid, S. (1995) Foundations of Quantum Group Theory, Cambridge University Press.

Majid, S. (2005) Noncommutative model with spontaneous time generation and Planckian bound, J. Math. Phys. 46, 103520.

Majid, S. (2006a) Algebraic approach to quantum gravity III: noncommutative Riemannian geometry, in Mathematical and Physical Aspects of Quantum Gravity, ed. B. Fauser, J. Tolksdorf and E. Zeidler, Birkhauser.

Majid, S. (2006b) Algebraic approach to quantum gravity II: noncommutative spacetime, to appear in Approaches to Quantum Gravity, ed. D. Oriti, Cambridge University Press.

Majid, S. (2007) Algebraic approach to quantum gravity I: relative realism. Preprint.

Majid, S. and Schroers, B. J. (2008) q-Deformation and semidualisation in 2 + 1 quantum gravity, I. In preparation.

Reshetikhin, N. Yu. and Turaev, V. G. (1990) Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys. 127, 1–26.

Witten, E. (1989) Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121, 351.

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