Bibliography
Borel, A.: Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes. Tôhoku Math. J.13, 216–240 (1961).
Chevalley, C.: Theory of Lie groups. Princeton University Press 1946.
Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1962.
Hofmann, K. H.: Einführung in die Theorie der Lie-Gruppen, Teil 1–2. Vorl. Univ. Tübingen 1962–1963.
—: Zerfällung topologischer Gruppen. Math. Z.84, 16–37 (1964).
Hofmann, K. H., andP. S. Mostert: Splitting in topological groups. Mem. Amer Math. Soc.43, 75 pp. (1963).
Hochschild, G.: The structure of Lie groups. San Francisco: Holden-Day Inc. 1965.
Iwasawa, K.: On some types of topological groups. Ann. of Math.50, 507–558 (1949).
Jacobson, N.: Lie algebras. New York: Interscience Publ. 1962.
Séminaire, S. Lie: Theorie des algèbres de Lie et topologie des groupes de Lie. Ecole norm. Sup. 1954–1955.
Montgomery, D., andL. Zippin: Topological transformation groups. New York: Interscience Publ. 1955.
Mostow, G. D.: A new proof of aE. Cartan's theorem on the topology of semisimple groups. Bull. Amer. Math. Soc.55, 969–980 (1949).
— On covariant fibring of Klein spaces. Amer. J. Math.77, 247–277 (1955).
Murakami, S.: On the automorphisms of a real semisimple Lie algebra. J. Math. Soc. Japan4, 103–133 (1953).
—: Supplements and corrections. J. Math. Soc. Japan5, 105–112 (1953).
Pontrjagin, L.: Topologische Gruppen, Teil 1–2. Leipzig: Teubner 1957.
Siebenthal, J. de: Sur les sous-groupes fermés connexes d'un groupe de Lie clos. Comm. Math. Helv.25, 210–256 (1951).
—: Sur les groupes de Lie compacts non connexes. Comm. Math. Helv.31, 41–89 (1956).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lee, D.H. Supplements for the identity component in locally compact groups. Math Z 104, 28–49 (1968). https://doi.org/10.1007/BF01114916
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01114916