@article{AIHPA_1971__15_1_37_0,
author = {Gallone, Franco and Mania', Alessandro},
title = {Group representations by automorphisms of a proposition system},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {15},
year = {1971},
pages = {37-59},
mrnumber = {287813},
zbl = {0249.43019},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1971__15_1_37_0}
}
Gallone, Franco; Mania', Alessandro. Group representations by automorphisms of a proposition system. Annales de l'I.H.P. Physique théorique, Tome 15 (1971) pp. 37-59. http://gdmltest.u-ga.fr/item/AIHPA_1971__15_1_37_0/
[1] and , Ann. Math., t. 37, 1936, p. 823. | JFM 62.1061.04 | Zbl 0015.14603
[2] , The Mathematical Foundations of Quantum Mechanics, New York, 1963; | Zbl 0114.44002
, Foundations of Quantum Mechanics, Reading, Massachusetts, 1968; | MR 218062 | Zbl 0166.23301
, Geometry of Quantum Theory, vol. I, Princeton, 1968 ; | MR 471674 | Zbl 0155.56802
and , Helv. Phys. Acta, t. 42, 1969, p. 842. | MR 251966 | Zbl 0181.27603
[3] , Helv. Phys. Acta, t. 37, 1964, p. 439. | MR 204048 | Zbl 0141.23204
[4] , Helv. Phys. Acta, t. 33, 1960, p. 727 ; and , Helv. Phys. Acta, t. 34, 1961, p. 621. | MR 127207 | Zbl 0102.21702
[5] , and , J. Math. Phys., t. 3, 1962, p. 207 ; t. 4, 1963, p. 136, p. 788; | MR 142690
, Helv. Phys. Acta, t. 36, 1963, p. 739, p. 770. | Zbl 0113.43402
[6] and , Publ. Research Inst. Math. Kyoto Univ., t. A 2, 1967, p. 423. | MR 213266 | Zbl 0177.16103
[7] , J. Math. Phys., t. 7, 1966, p. 271 ; | MR 189525 | Zbl 0195.28401
, Helv. Phys. Acta, t. 42, 1969, p. 330; , Lecture Notes of Varenna Summer School, 1970. | MR 243791 | Zbl 0181.27502
[8] and , J. Math. Phys., t. 4, 1963, p. 469. | MR 148349 | Zbl 0113.21105
[9] , Group Theory and its Applications to the Quantum Mechanics of Atomic Spectra, p. 251-253, New York, 1959. | MR 106711 | Zbl 0085.37905
[10] , Commun. Math. Phys., t. 9, 1968, p. 55; t. 15, 1969, p. 1. | Zbl 0164.29501
[11] , Commun. Math. Phys., t. 12, 1969, p. 1. | Zbl 0169.56702
[12] , Z. Physik, t. 181, 1964, p. 331. | MR 181247
[13] , Theory of Group Representations, Chicago, Department of Mathematics, University of Chicago, 1955.
[14] , Neue Begründung der Theorie der Gruppencharaktere, Sitzungsber. Preuss. Akad., 1905. | JFM 36.0194.01
[15] See MACKEY'S lecture notes quoted in ref. [13] and also Prop. 1.2 and Prop. 1.3 in ,Nuovo Cimento , Suppl. 4, 1966, p. 37. | Zbl 0163.22704
[16] , Théorie des Groupes en Physique Classique et Quantique, t. 1, Paris, 1960, p. 47;
, Topological Groups, New York, 1966, p. 216.
[17] , and , Phys. Rev., t. 88, 1952, p. 101 ; | MR 53796 | Zbl 0046.43906
, Nuovo Cimento, Suppl. 14, 1959, p. 81. | MR 113606
[18] , Helv. Phys. Acta, t. 42, 1969, p. 330; see also the appendix of Mackey's book quoted in ref. [2]. | MR 243791 | Zbl 0181.27502
[19] , Mem. Amer. Math. Soc., t. 18, 1955. | MR 73960 | Zbl 0067.08702
[20] , Helv. Phys. Acta, t. 33, 1960, p. 711 ; | MR 121096 | Zbl 0119.43603
and B. MISRA, Helv. Phys. Acta, t. 34, 1961, p. 699. | MR 137491 | Zbl 0115.44001
[21] , J. Math. Phys., t. 10, 1969, p. 53. | MR 255177 | Zbl 0172.56602
[22] , J. Math. Phys., t. 7, 1966, p. 271. | Zbl 0195.28401
[23] , Lattice Theory, New York, 1948 ; | MR 29876 | Zbl 0033.10103
, Introduction to Lattice Theory, New York, 1963. | MR 166118 | Zbl 0126.03703