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Extensions and low dimensional cohomology theory of locally compact groups. I, II


Author: Calvin C. Moore
Journal: Trans. Amer. Math. Soc. 113 (1964), 40-63
MSC: Primary 22.60; Secondary 28.70
DOI: https://doi.org/10.1090/S0002-9947-1964-0171880-5
MathSciNet review: 0171880
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  • [1] S. Banach, Théorie des opérations linéares, Monogn Mat. Tom. 1, Warsaw, 1932.
  • [2] V. Bargmann, On unitary ray representations of continuous groups, Ann. of Math. (2) 59 (1954), 1-46. MR 0058601 (15:397b)
  • [3] M. L. Calabi, Sur les extensions des groupes topologiques, Ann. Mat. Pura Appl. (4) 32 (1951), 295-370. MR 0049907 (14:245d)
  • [4] C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85-124. MR 0024908 (9:567a)
  • [5] S. Eilenberg and S. MacLane, Cohomology theory in abstract groups. I, Ann. of Math. (2) 48 (1947), 51-78. MR 0019092 (8:367f)
  • [6] -, Cohomology theory in abstract groups. II, Ann. of Math. (2) 48 (1947), 326-341. MR 0020996 (9:7c)
  • [7] R. Godement, Théorie des faisceaux, Hermann, Paris, 1958. MR 0102797 (21:1583)
  • [8] A. M. Gleason, Spaces with a compact Lie group of transformations, Proc. Amer. Math. Soc. 1 (1950), 35-43. MR 0033830 (11:497e)
  • [9] P. R. Halmos, Measure theory, Van Nostrand, New York, 1950. MR 0033869 (11:504d)
  • [10] G. Hochschild, Group extensions of Lie groups. I, Ann. of Math. (2) 54 (1951), 96-109. MR 0041858 (13:12b)
  • [11] -, Group extensions of Lie groups. II, Ann. of Math. (2) 54 (1951), 537-551. MR 0043789 (13:318d)
  • [12] G. Hochschild and J.-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953), 110-134. MR 0052438 (14:619b)
  • [13] K. Iwasawa, Some types of topological groups, Ann. of Math. (2) 50 (1949), 507-558. MR 0029911 (10:679a)
  • [14] J. L. Kelley, General topology, Van Nostrand, New York, 1955. MR 0070144 (16:1136c)
  • [15] C. Kuratowski, Topologie. I, 3rd ed., Polskie Towarzystwo Matematyczne, Warsaw, 1952.
  • [16] G. W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101-139. MR 0044536 (13:434a)
  • [17] -, Les ensembles Borélien et les extensions des groupes, J. Math. Pures Appl. 36 (1957), 171-178. MR 0089998 (19:752a)
  • [18] -, Borel structures in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-165. MR 0089999 (19:752b)
  • [19] -, Unitary representations of group extensions. I, Acta. Math. 99 (1958), 265-311. MR 0098328 (20:4789)
  • [20] D. Montgomery and L. Zippen, Topological transformation groups, Interscience, New York, 1955. MR 0073104 (17:383b)
  • [21] P. S. Mostert, Local cross sections in locally compact groups, Proc. Amer. Math. Soc. 4 (1953), 546-649. MR 0056614 (15:101d)
  • [22] H. Nagao, The extension of topological groups, Osaka Math. J. 1 (1949), 36-42. MR 0030531 (11:10a)
  • [23] L. Pontrjagin, Topological groups, Princeton, N. J., 1940.
  • [24] A. Shapiro, Group extensions of compact Lie groups, Ann. of Math. (2) 50 (1949), 581-658. MR 0031487 (11:157i)
  • [25] H. Weyl, The theory of groups and quantum mechanics, New York, 1931.
  • [26] E. Wigner, On unitary representations of the inhomogeneous Lorentz group, Ann. of Math. (2) 40 (1939), 149-204. MR 1503456
  • [27] G. D. Mostow, Cohomology of topological groups and solvmanifolds, Ann. of Math. (2) 73 (1961), 20-49. MR 0125179 (23:A2484)

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DOI: https://doi.org/10.1090/S0002-9947-1964-0171880-5
Article copyright: © Copyright 1964 American Mathematical Society

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