R. Penrose, A spinor approach to general relativity, Annals of Physics, vol.10, issue.2, pp.171-201, 1960.
DOI : 10.1016/0003-4916(60)90021-X

R. Penrose, Twistor Algebra, Journal of Mathematical Physics, vol.9, issue.2, p.345, 1967.
DOI : 10.1103/PhysRevLett.11.237

R. Penrose, Twistor quantisation and curved space-time, International Journal of Theoretical Physics, vol.100, issue.1, pp.61-99, 1968.
DOI : 10.1007/BF00668831

R. Penrose and M. A. Maccallum, Twistor theory: An approach to the quantisation of fields and space-time, Physics Reports, vol.6, issue.4, pp.241-316, 1973.
DOI : 10.1016/0370-1573(73)90008-2

R. Penrose and W. Rindler, Spinors and Space-Time, 1984.

R. Penrose and W. Rindler, Spinors and Space-Time, 1986.

T. N. Bailey, M. G. Eastwood, and A. R. Gover, Thomas's Structure Bundle for Conformal, Projective and Related Structures, Rocky Mountain Journal of Mathematics, vol.24, issue.4, pp.1191-1217, 1994.
DOI : 10.1216/rmjm/1181072333

URL : http://doi.org/10.1216/rmjm/1181072333

. A. Gover and W. A. Shaukat, Tractors, mass, and Weyl invariance, Nuclear Physics B, vol.812, issue.3, pp.424-455, 2009.
DOI : 10.1016/j.nuclphysb.2008.11.026

URL : http://arxiv.org/pdf/0810.2867

. A. Gover and W. A. Shaukat, Weyl invariance and the origins of mass, Physics Letters B, vol.675, issue.1, pp.93-97, 2009.
DOI : 10.1016/j.physletb.2009.03.072

T. Fulton, F. Rohrlich, and L. Witten, Conformal Invariance in Physics, Reviews of Modern Physics, vol.6, issue.3, pp.442-457, 1962.
DOI : 10.1103/PhysRev.70.410

. Cunningham, The Principle of Relativity in Electrodynamics and an Extension Thereof, Proc. London Math. Soc, pp.77-98, 1910.
DOI : 10.1112/plms/s2-8.1.77

H. Bateman, The Transformation of the Electrodynamical Equations, Proceedings of the London Mathematical Society, vol.2, issue.1, pp.223-264, 1910.
DOI : 10.1112/plms/s2-8.1.223

H. Bateman, The Transformations of Coordinates which can be used to Transform one Physical Problem into Another, Proc. London, pp.469-488, 1910.
DOI : 10.1112/plms/s2-8.1.469

S. Curry and A. R. Gover, An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity, 2014.
DOI : 10.1017/9781108186612.003

M. Eastwood and T. Bailey, Complex paraconformal manifolds -their differential geometry and twistor theory, Forum mathematicum, vol.3, issue.1, pp.61-103, 1991.

J. Attard and J. François, Tractors and twistors from conformal Cartan geometry: a gauge theoretic approach II. Twistors, Classical and Quantum Gravity, vol.34, issue.8, 2016.
DOI : 10.1088/1361-6382/aa627d

URL : https://hal.archives-ouvertes.fr/hal-01494144

F. S. Klotz, Twistors and the conformal group, Journal of Mathematical Physics, vol.31, issue.12, pp.2242-2247, 1974.
DOI : 10.1063/1.1703854

H. Friedrich, Twistor connection and normal conformal Cartan connection, General Relativity and Gravitation, vol.9, issue.5, pp.303-312, 1977.
DOI : 10.1007/978-3-642-61981-6

S. A. Merkulov, The twistor connection and gauge invariance principle, Communications in Mathematical Physics, vol.9, issue.3, pp.325-331, 1984.
DOI : 10.1007/BF01258531

S. A. Merkulov, A conformally invariant theory of gravitation and electromagnetism, Classical and Quantum Gravity, vol.1, issue.4, p.349, 1984.
DOI : 10.1088/0264-9381/1/4/007

M. Dubois-violette, The Weil-B.R.S. algebra of a Lie algebra and the anomalous terms in gauge theory, Journal of Geometry and Physics, vol.3, issue.4, pp.525-565, 1987.
DOI : 10.1016/0393-0440(86)90009-4

URL : https://hal.archives-ouvertes.fr/hal-00013684

R. Stora, Algebraic structure and toplogical origin of chiral anomalies, Progress in Gauge Field Theory, 1983.
DOI : 10.1007/978-1-4757-0280-4_19

J. Mañes, R. Stora, and B. Zumino, Algebraic study of chiral anomalies, Communications in Mathematical Physics, vol.253, issue.1, pp.157-174, 1985.
DOI : 10.1016/0550-3213(85)90543-7

L. Baulieu and J. Thierry-mieg, Algebraic structure of quantum gravity and the classification of the gravitational anomalies, Physics Letters B, vol.145, issue.1-2, p.53, 1984.
DOI : 10.1016/0370-2693(84)90946-8

L. Baulieu and M. Bellon, p-forms and supergravity: Gauge symmetries in curved space, Nuclear Physics B, vol.266, issue.1, p.75, 1986.
DOI : 10.1016/0550-3213(86)90178-1

L. Bonora and P. Cotta-ramusino, Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations, Communications in Mathematical Physics, vol.107, issue.4, pp.589-603, 1983.
DOI : 10.1016/0370-2693(81)91154-0

T. Masson and J. C. Wallet, A remark on the spontaneous symmetry breaking mechanism in the standard model, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00449027

C. Fournel, J. François, S. Lazzarini, and T. Masson, Gauge invariant composite fields out of connections, with examples, International Journal of Geometric Methods in Modern Physics, vol.24, issue.03, p.1450016, 2014.
DOI : 10.1103/PhysRevD.87.034031

URL : https://hal.archives-ouvertes.fr/hal-00769445

J. François, Reduction of gauge symmetries: a new geometrical approach. Thesis, 2014.

G. K. Pedersen, C-star Algebras and Their Automorphisms Groups, 1979.

. P. Dana and . Williams, Crossed Products of C-star Algebras, volume 134 of Mathematical Surveys and Monographs, 2007.

P. A. Dirac, GAUGE-INVARIANT FORMULATION OF QUANTUM ELECTRODYNAMICS, Canadian Journal of Physics, vol.33, issue.11, pp.650-660, 1955.
DOI : 10.1139/p55-081

W. Peter and . Higgs, Spontaneous symmetry breakdown without massless bosons, Phys. Rev, vol.145, pp.1156-1163, 1966.

T. W. Kibble, Symmetry Breaking in Non-Abelian Gauge Theories, Physical Review, vol.14, issue.5, pp.1554-1561, 1967.
DOI : 10.1007/BF03026447

V. Pervushin, Dirac variables in gauge theories. arXiv:hep-th/0109218v2, 2001.

L. D. Lantsman, Dirac fundamental quantization of gauge theories is the natural way of reference frames in modern physics, Fizika B, vol.18, pp.99-140, 2009.

M. Lavelle and D. Mcmullan, Nonlocal symmetry for QED, Physical Review Letters, vol.149, issue.23, pp.3758-3761, 1993.
DOI : 10.1007/BF02096628

URL : http://arxiv.org/pdf/hep-th/9306132

M. Lavelle and D. Mcmullan, Constituent quarks from QCD, Physics Reports, vol.279, issue.1, pp.1-65, 1997.
DOI : 10.1016/S0370-1573(96)00019-1

URL : http://arxiv.org/pdf/hep-ph/9509344

C. Lorcé, Geometrical approach to the proton spin decomposition, Physical Review D, vol.30, issue.3, p.34031, 2013.
DOI : 10.1103/PhysRevLett.107.212001

E. Leader and C. Lorcé, The angular momentum controversy: What is it all about and does it matter, Physics Reports, vol.514, pp.163-248, 2014.
DOI : 10.1134/s1063779613060142

URL : http://arxiv.org/pdf/1309.4235

J. François, S. Lazzarini, and T. Masson, Nucleon spin decomposition and differential geometry, Physical Review D, vol.18, issue.4, p.45014, 2015.
DOI : 10.1139/p55-081

J. Frohlich, G. Morchio, and F. Strocchi, Higgs phenomenon without symmetry breaking order parameter, Nuclear Physics B, vol.190, issue.3, pp.553-582, 1981.
DOI : 10.1016/0550-3213(81)90448-X

M. Lavelle and D. Mcmullan, Observables and gauge fixing in spontaneously broken gauge theories, Physics Letters B, vol.347, issue.1-2, pp.89-94, 1995.
DOI : 10.1016/0370-2693(95)00046-N

URL : http://arxiv.org/pdf/hep-th/9412145

M. N. Chernodub, L. Faddeev, and A. J. Niemi, Non-abelian Supercurrents and Electroweak Theory, JHEP, vol.12, p.14, 2008.
DOI : 10.1088/1126-6708/2008/12/014

URL : http://iopscience.iop.org/article/10.1088/1126-6708/2008/12/014/pdf

L. D. Faddeev, An Alternative Interpretation of the Weinberg-Salam Model, pp.3-8, 2009.
DOI : 10.1007/978-90-481-2287-5_1

A. Ilderton, M. Lavelle, and D. Mcmullan, Symmetry breaking, conformal geometry and gauge invariance, Journal of Physics A: Mathematical and Theoretical, vol.43, issue.31, p.43312002, 2010.
DOI : 10.1088/1751-8113/43/31/312002

URL : http://iopscience.iop.org/article/10.1088/1751-8113/43/31/312002/pdf

W. Struyve, Gauge invariant accounts of the higgs mechanism Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, pp.226-236, 2011.

S. Van and D. , Spontaneous symmetry breaking in the higgs mechanism. PhiSci-Archive, 2011.

D. Garajeu, R. Grimm, and S. Lazzarini, W???gauge structures and their anomalies: An algebraic approach, Journal of Mathematical Physics, vol.2, issue.12, pp.7043-7072, 1995.
DOI : 10.1016/0040-9383(92)90044-I

URL : http://arxiv.org/pdf/hep-th/9411125

A. M. Polyakov, GAUGE TRANSFORMATIONS AND DIFFEOMORPHISMS, International Journal of Modern Physics A, vol.05, issue.05, p.833, 1990.
DOI : 10.1142/S0217751X90000386

S. Lazzarini and C. Tidei, Polyakov Soldering and Second-Order Frames: The Role of the Cartan Connection, Letters in Mathematical Physics, vol.29, issue.1, pp.27-37, 2008.
DOI : 10.14492/hokmj/1350912986

URL : https://hal.archives-ouvertes.fr/hal-00258919

J. Attard and S. Lazzarini, A note on Weyl invariance in gravity and the Wess???Zumino functional, Nuclear Physics B, vol.912, 2016.
DOI : 10.1016/j.nuclphysb.2016.07.016

URL : https://hal.archives-ouvertes.fr/hal-01347320

A. Cap and J. Slovak, Parabolic Geometries I: Background and General Theory, volume 1 of Mathematical Surveys and Monographs, 2009.

R. W. Sharpe, Differential Geometry: Cartan's Generalization of Klein's Erlangen Program, Graduate text in Mathematics, vol.166, 1996.

S. Kobayashi, Transformation Groups in Differential Geometry, 1972.
DOI : 10.1007/978-3-642-61981-6

J. Attard, J. François, and S. Lazzarini, Weyl gravity and Cartan geometry, Physical Review D, vol.42, issue.8, p.85032, 2016.
DOI : 10.1017/S0305004100046144

URL : https://hal.archives-ouvertes.fr/hal-01248843

M. Korzy´nskikorzy´nski and J. Lewandowski, The normal conformal Cartan connection and the Bach tensor, Classical and Quantum Gravity, vol.20, issue.16, p.3745, 2003.
DOI : 10.1088/0264-9381/20/16/314