J. L. Anderson, Symmetries and invariances of canonical theories. Amer, J. Phys, vol.40, issue.4, pp.541-544, 1972.

B. M. Barbashov and V. V. Nesterenko, Continuous Symmetries in Field Theory, Fortschritte der Physik/Progress of Physics, vol.18, issue.10, pp.31-535, 1983.
DOI : 10.1002/prop.2190311003

F. L. Belinfante, On the spin angular momentum of mesons, Physica, vol.6, issue.7-12, pp.887-898, 1939.
DOI : 10.1016/S0031-8914(39)90090-X

E. Bessel-hagen, On conservation laws of electrodynamics Archives of ALGA 3, english translation by Matthias Albinus and Nail H. Ibragimov from the original German: Über die Erhaltungssätze der Elektrodynamik, pp.33-51, 1921.

K. Brading and H. R. Brown, Symmetries and Noether's theorems, pp.89-109, 2003.
DOI : 10.1017/CBO9780511535369.006

K. Brading and E. Castellani, Symmetries in physics. Philosophical reflections, 2003.

N. Byers, The life and times of Emmy Noether; contributions of E. Noether to particle physics History of original ideas and basic discoveries in particle physics, B52 of NATO ASI series, Physics. International Conference on the History of Original Ideas and Basic Discoveries in Particle Physics, pp.945-964, 1994.

H. Davies, Hamiltonian approach to the method of summation over Feynman histories, Mathematical Proceedings of the Cambridge Philosophical Society, vol.53, issue.01, pp.147-155, 1963.
DOI : 10.1098/rspa.1954.0201

A. Deriglazov, Classical Mechanics. Hamiltonian and Lagrangian Formalism, 2010.

A. A. Deriglazov and K. E. Evdokimov, LOCAL SYMMETRIES AND THE NOETHER IDENTITIES IN THE HAMILTONIAN FRAMEWORK, International Journal of Modern Physics A, vol.15, issue.25, pp.4045-4067, 2000.
DOI : 10.1142/S0217751X00001890

M. G. Doncel, A. Hermann, L. Michel, and A. Pais, Symmetries in Physics (1600-1980) : proceedings of the 1st International Meeting on the History of Scientific Ideas, 1983.

R. P. Feynman, An Operator Calculus Having Applications in Quantum Electrodynamics, Physical Review, vol.84, issue.1, pp.108-128, 1951.
DOI : 10.1103/PhysRev.84.108

R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals. International series in pure and applied physics, 1965.

C. Garrod, Hamiltonian path-integral methods. Rev. Modern Phys, pp.483-494, 1966.

G. W. Gibbons and S. W. Hawking, Action integrals and partition functions in quantum gravity, Physical Review D, vol.15, issue.10, pp.2752-2756, 1977.
DOI : 10.1103/PhysRevD.15.2752

D. M. Gitman and I. V. Tyuti, Quantization of Fields with Constraints, Series in Nuclear and Particle Physics, 1990.
DOI : 10.1007/978-3-642-83938-2

P. Havas, The connection between conservation laws and invariance groups: folklore, fiction, and fact. Acta Phys, Austriaca, vol.38, pp.145-167, 1973.

M. Henneaux and C. Teitelboim, Quantization of gauge systems, 1992.

E. L. Hill, Hamilton's principle and the conservation theorems of mathematical physics. Rev. Modern Phys, pp.253-260, 1951.

H. A. Kastrup, The contribution of Emmy Noether, Felix Klein and Sophus Lie to the modern concept of symmetries in physical systems, pp.113-163, 1983.

Y. Kosmann-schwarzbach, , Dwight E. Neuenschwander Johns Hopkins U. Press, Baltimore, 2011. $75.00, $30.00 paper (243 pp.). ISBN 978-0-8018-9693-4, ISBN 978-0-8018-9694-1 paper, Physics Today, vol.64, issue.9, p.62, 2011.
DOI : 10.1063/PT.3.1263

Y. Kosmann-schwarzbach, The Noether theorems Invariance and conservation laws in the twentieth century (sources and studies in the history of mathematics and physical sciences, 2004.

C. Leubner and M. A. Marte, Unified treatment of canonical and Noether symmetries in the analytical mechanics course, European Journal of Physics, vol.6, issue.1, pp.22-32, 1985.
DOI : 10.1088/0143-0807/6/1/004

J. Lévy-leblond, Conservation Laws for Gauge-Variant Lagrangians in Classical Mechanics, American Journal of Physics, vol.39, issue.5, pp.502-506, 1971.
DOI : 10.1119/1.1986202

Z. Li, Generalized Noether theorems in canonical formalism for field theories and their applications, International Journal of Theoretical Physics, vol.2, issue.1, pp.201-215, 1993.
DOI : 10.1007/BF00674405

L. Lusanna, The second noether theorem as the basis of the theory of singular Lagrangians and Hamiltonians constraints, La Rivista del Nuovo Cimento, vol.27, issue.3, pp.1-75, 1991.
DOI : 10.1007/BF02810161

A. Mouchet, An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis, Physics Letters A, vol.377, issue.39, pp.2709-2711, 2013.
DOI : 10.1016/j.physleta.2013.08.017

URL : https://hal.archives-ouvertes.fr/hal-00807644

D. E. Neuenschwander, Emmy Noether's Wonderful Theorem, 2011.

E. Noether, Invariant Variational Problems, Schwarzbach from the original German: Invariante Variationsprobleme, Göttinger Nachrichten, pp.3-22, 1918.
DOI : 10.1007/978-0-387-87868-3_1

C. R. Quade, Development of canonical transformations from Hamilton's principle. Amer, J. Phys, vol.47, issue.6, pp.535-538, 1979.

J. R. Ray, Modified Hamilton's Principle, American Journal of Physics, vol.41, issue.10, pp.1188-1190, 1973.
DOI : 10.1119/1.1987512

L. Rosenfeld, Sur le tenseur d'impulsion-énergie. Mem. de l'Acad, Classe des Sci.) XVIII, issue.6, pp.1-30, 1940.

W. Sarlet and F. Cantrijn, Generalizations of Noether???s Theorem in Classical Mechanics, SIAM Review, vol.23, issue.4, pp.467-494, 1981.
DOI : 10.1137/1023098

R. Simon, N. Mukunda, S. Chaturvedi, and V. Srinivasan, Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics, Physics Letters A, vol.372, issue.46, pp.6847-6852, 2008.
DOI : 10.1016/j.physleta.2008.09.052

W. Tobocman, Transition amplitudes as sums over histories, Il Nuovo Cimento, vol.92, issue.6, pp.1213-1229, 1956.
DOI : 10.1007/BF02785004

J. York and W. , Role of Conformal Three-Geometry in the Dynamics of Gravitation, Physical Review Letters, vol.28, issue.16, pp.1082-1085, 1972.
DOI : 10.1103/PhysRevLett.28.1082