@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'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {37--59},
year = {1971},
publisher = {Gauthier-Villars},
volume = {15},
number = {1},
mrnumber = {287813},
zbl = {0249.43019},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1971__15_1_37_0/}
}
TY - JOUR AU - Gallone, Franco AU - Mania', Alessandro TI - Group representations by automorphisms of a proposition system JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1971 SP - 37 EP - 59 VL - 15 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1971__15_1_37_0/ LA - en ID - AIHPA_1971__15_1_37_0 ER -
%0 Journal Article %A Gallone, Franco %A Mania', Alessandro %T Group representations by automorphisms of a proposition system %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1971 %P 37-59 %V 15 %N 1 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1971__15_1_37_0/ %G en %F AIHPA_1971__15_1_37_0
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. https://www.numdam.org/item/AIHPA_1971__15_1_37_0/
[1] and , Ann. Math., t. 37, 1936, p. 823. | Zbl | JFM
[2] , The Mathematical Foundations of Quantum Mechanics, New York, 1963; | Zbl
, Foundations of Quantum Mechanics, Reading, Massachusetts, 1968; | Zbl | MR
, Geometry of Quantum Theory, vol. I, Princeton, 1968 ; | Zbl | MR
and , Helv. Phys. Acta, t. 42, 1969, p. 842. | Zbl | MR
[3] , Helv. Phys. Acta, t. 37, 1964, p. 439. | Zbl | MR
[4] , Helv. Phys. Acta, t. 33, 1960, p. 727 ; and , Helv. Phys. Acta, t. 34, 1961, p. 621. | Zbl | MR
[5] , and , J. Math. Phys., t. 3, 1962, p. 207 ; t. 4, 1963, p. 136, p. 788; | MR
, Helv. Phys. Acta, t. 36, 1963, p. 739, p. 770. | Zbl
[6] and , Publ. Research Inst. Math. Kyoto Univ., t. A 2, 1967, p. 423. | Zbl | MR
[7] , J. Math. Phys., t. 7, 1966, p. 271 ; | Zbl | MR
, Helv. Phys. Acta, t. 42, 1969, p. 330; , Lecture Notes of Varenna Summer School, 1970. | Zbl | MR
[8] and , J. Math. Phys., t. 4, 1963, p. 469. | Zbl | MR
[9] , Group Theory and its Applications to the Quantum Mechanics of Atomic Spectra, p. 251-253, New York, 1959. | Zbl | MR
[10] , Commun. Math. Phys., t. 9, 1968, p. 55; t. 15, 1969, p. 1. | Zbl
[11] , Commun. Math. Phys., t. 12, 1969, p. 1. | Zbl
[12] , Z. Physik, t. 181, 1964, p. 331. | MR
[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
[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
[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 ; | Zbl | MR
, Nuovo Cimento, Suppl. 14, 1959, p. 81. | MR
[18] , Helv. Phys. Acta, t. 42, 1969, p. 330; see also the appendix of Mackey's book quoted in ref. [2]. | Zbl | MR
[19] , Mem. Amer. Math. Soc., t. 18, 1955. | Zbl | MR
[20] , Helv. Phys. Acta, t. 33, 1960, p. 711 ; | Zbl | MR
and B. MISRA, Helv. Phys. Acta, t. 34, 1961, p. 699. | Zbl | MR
[21] , J. Math. Phys., t. 10, 1969, p. 53. | Zbl | MR
[22] , J. Math. Phys., t. 7, 1966, p. 271. | Zbl
[23] , Lattice Theory, New York, 1948 ; | Zbl | MR
, Introduction to Lattice Theory, New York, 1963. | Zbl | MR






