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Representation theory of central topological groups
Authors:
Siegfried Grosser and Martin Moskowitz
Journal:
Trans. Amer. Math. Soc. 129 (1967), 361-390
MSC:
Primary 22.60
MathSciNet review:
0229753
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References |
Similar Articles |
Additional Information
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H. Clifford, Representations induced in an invariant subgroup,
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A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1953.
- [1]
- P. Cartier, Séminaire Sophus Lie, Ecole Norm. Sup. Paris, 1954/55-1955/56.
- [2]
- A. H. Clifford, Representations induced on an invariant subgroup, Ann. of Math. 38 (1937), 533-550. MR 1503352
- [3]
- C. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience, New York, 1962. MR 0144979 (26:2519)
- [4]
- R. Godement, Analyse harmonique dans les groupes centraux. I. Fonctions centrales et caractères, C. R. Acad. Sci. Paris 225 (1947), 19-21. MR 0021000 (9:8a)
- [5]
- -, Review of: F. I. Mautner, Infinite-dimensional representations of certain groups, Math. Rev. 12 (1951), 588.
- [6]
- -, Mémoire sur la théorie des caractères dans les groupes localement compacts unimodulaires, J. Math. Pures Appl. 30 (1951), 1-110. MR 0041857 (13:12a)
- [7]
- S. Grosser and M. Moskowitz, On central topological groups, Trans. Amer. Math. Soc. 127 (1967), 317-340. MR 0209394 (35:292)
- [8]
- G. Hochschild, The structure of Lie groups, Holden-Day, San Francisco, Calif., 1965. MR 0207883 (34:7696)
- [9]
- I. M. Isaacs and D. S. Passman, Groups with representations of bounded degree, Canad. J. Math. 16 (1964), 299-309. MR 0167539 (29:4811)
- [10]
- I. Kaplansky, Groups with representations of bounded degree, Canad. J. Math. 1 (1949), 105-112. MR 0028317 (10:428f)
- [11]
- L. Loomis, Abstract harmonic analysis, Van Nostrand, Princeton, N. J., 1953. MR 0054173 (14:883c)
- [12]
- F. I. Mautner, Infinite-dimensional representations of certain groups, Proc. Amer. Math. Soc. 1 (1949), 582-584. MR 0039728 (12:588c)
- [13]
- S. Murakami, Remarks on the structure of maximally almost periodic groups, Osaka Math. J. 2 (1950), 119-129. MR 0041860 (13:12d)
- [14]
- L. Nachbin, On the finite-dimensionality of every irreducible unitary representation of a compact group, Proc. Amer. Math. Soc. 12 (1961), 11-12. MR 0123197 (23:A526)
- [15]
- M. A. Naimark, Normed rings, Noordhoff, Groningen, 1959. MR 0355601 (50:8075)
- [16]
- L. Pontrjagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1939.
- [17]
- I. Segal, The group algebra of a locally compact group, Trans. Amer. Math. Soc. 61 (1947), 69-105. MR 0019617 (8:438c)
- [18]
- S. Takahashi, A duality theorem for representable locally compact groups with compact commutator subgroup, Tôhoku Math. J. (2) 4 (1952), 115-121. MR 0053947 (14:846a)
- [19]
- E. Thoma, Math. Ann. 153 (1964), 111-138. MR 0160118 (28:3332)
- [20]
- B. L. van der Waerden, Modern algebra, Vol. 2, Ungar, New York, 1953.
- [21]
- A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1953.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1967-0229753-8
PII:
S 0002-9947(1967)0229753-8
Article copyright:
© Copyright 1967 American Mathematical Society
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