Group representations by automorphisms of a proposition system
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 15 (1971) no. 1, pp. 37-59. 
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Gallone, Franco; Mania', Alessandro. Group representations by automorphisms of a proposition system. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 15 (1971) no. 1, pp. 37-59. http://archive.numdam.org/item/AIHPA_1971__15_1_37_0/

[1] G. Birkhoff and J. Von Neumann, Ann. Math., t. 37, 1936, p. 823. | JFM | Zbl

[2] G.W. Mackey, The Mathematical Foundations of Quantum Mechanics, New York, 1963; | Zbl

J.M. Jauch, Foundations of Quantum Mechanics, Reading, Massachusetts, 1968; | MR | Zbl

V.S. Varadarajan, Geometry of Quantum Theory, vol. I, Princeton, 1968 ; | MR | Zbl

J.M. Jauch and C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 842. | MR | Zbl

[3] C. Piron, Helv. Phys. Acta, t. 37, 1964, p. 439. | MR | Zbl

[4] E.C.G. Stueckelberg, Helv. Phys. Acta, t. 33, 1960, p. 727 ; E.C.G. Stueckelberg and M. Guenin, Helv. Phys. Acta, t. 34, 1961, p. 621. | MR | Zbl

[5] D. Finkelstein, J.M. Jauch and D. Speiser, J. Math. Phys., t. 3, 1962, p. 207 ; t. 4, 1963, p. 136, p. 788; | MR

G. Emch, Helv. Phys. Acta, t. 36, 1963, p. 739, p. 770. | Zbl

[6] I. Amemiya and H. Araki, Publ. Research Inst. Math. Kyoto Univ., t. A 2, 1967, p. 423. | MR | Zbl

[7] M. Guenin, J. Math. Phys., t. 7, 1966, p. 271 ; | MR | Zbl

C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 330; C. Piron, Lecture Notes of Varenna Summer School, 1970. | MR | Zbl

[8] G. Emch and C. Piron, J. Math. Phys., t. 4, 1963, p. 469. | MR | Zbl

[9] E.P. Wigner, Group Theory and its Applications to the Quantum Mechanics of Atomic Spectra, p. 251-253, New York, 1959. | MR | Zbl

[10] B. Mielnik, Commun. Math. Phys., t. 9, 1968, p. 55; t. 15, 1969, p. 1. | Zbl

[11] S. Gudder, Commun. Math. Phys., t. 12, 1969, p. 1. | Zbl

[12] G. Rose, Z. Physik, t. 181, 1964, p. 331. | MR

[13] G.W. Mackey, Theory of Group Representations, Chicago, Department of Mathematics, University of Chicago, 1955.

[14] I. Schur, Neue Begründung der Theorie der Gruppencharaktere, Sitzungsber. Preuss. Akad., 1905. | JFM

[15] See MACKEY'S lecture notes quoted in ref. [13] and also Prop. 1.2 and Prop. 1.3 in G.A. Pozzi,Nuovo Cimento , Suppl. 4, 1966, p. 37. | Zbl

[16] Th. Kahan, Théorie des Groupes en Physique Classique et Quantique, t. 1, Paris, 1960, p. 47;

L.S. Pontryagin, Topological Groups, New York, 1966, p. 216.

[17] G.C. Wick, A.S. Wightman and E.P. Wigner, Phys. Rev., t. 88, 1952, p. 101 ; | MR | Zbl

A.S. Wightman, Nuovo Cimento, Suppl. 14, 1959, p. 81. | MR

[18] C. Piron, Helv. Phys. Acta, t. 42, 1969, p. 330; see also the appendix of Mackey's book quoted in ref. [2]. | MR | Zbl

[19] L.H. Loomis, Mem. Amer. Math. Soc., t. 18, 1955. | MR | Zbl

[20] J.M. Jauch, Helv. Phys. Acta, t. 33, 1960, p. 711 ; | MR | Zbl

J.M. Jauch and B. MISRA, Helv. Phys. Acta, t. 34, 1961, p. 699. | MR | Zbl

[21] J.P. Antoine, J. Math. Phys., t. 10, 1969, p. 53. | MR | Zbl

[22] M. Guenin, J. Math. Phys., t. 7, 1966, p. 271. | Zbl

[23] G. Birkhoff, Lattice Theory, New York, 1948 ; | MR | Zbl

G. Szász, Introduction to Lattice Theory, New York, 1963. | MR | Zbl