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Maximal compact subgroups and the centre in an analytic group

Published online by Cambridge University Press:  17 April 2009

W. H. Previts  and
T. S. Wu
W. H. Previts
Affiliation:
Department of Mathematics, Case Western Reserve University, Cleveland OH 44106, United States of America
T. S. Wu
Affiliation:
Department of Mathematics, Case Western Reserve University, Cleveland OH 44106, United States of America
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Abstract

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In this paper we study the centre of a simply connected analytic group. We present two structure theorems on the centres of such groups. We also study maximal tori and maximal compact subgroups of an analytic group, and as a result, we extend a theorem by Goto.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 415 - 421
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Goto, M., ‘Immersions of Lie groups’, J. Math. Soc. Japan 32 (1980), 727–749.Google Scholar
[2]Goto, M., ‘Maximal tori and the center in an analytic group’, Hiroshima Math. J. 20 (1990), 421–424.CrossRefGoogle Scholar
[3]Hochschild, G., The structure of Lie groups (Holden-Day Inc., San Francisco, London, Amsterdam, 1965).Google Scholar
[4]Iwasawa, K., ‘On some types of topological groups’, Ann. of Math. 50 (1949), 507–558.Google Scholar