caa a22 4500 38638536X CHVBK 20180307112056.0 cr unu---uuuuu 161130e198903 xx s 000 0 eng 10.1017/S0305004100067748 doi S0305004100067748 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100067748 Equidimensional immersions of locally compact groups [Elektronische Daten] Dense immersions occur frequently in Lie group theory. Suppose that exp: g → G denotes the exponential function of a Lie group and a is a Lie subalgebra of g. Then there is a unique Lie group ALie with exponential function exp:a → ALie and an immersion f:ALie→G whose induced morphism L(j) on the Lie algebra level is the inclusion a → g and which has as image an analytic subgroup A of G. The group Ā is a connected Lie group in which A is normal and dense and the corestriction is a dense immersion. Unless A is closed, in which case f' is an isomorphism of Lie groups, dim a = dim ALie is strictly smaller than dim h = dim H. Copyright © Cambridge Philosophical Society 1989 Hofmann K. H. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7, D-6100 Darmstadt, WestGermany Wu T. S. Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A. Yang J. S. Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208, U.S.A. Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 253-261 0305-0041 105:2<253 1989 105 PSP https://doi.org/10.1017/S0305004100067748 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100067748 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hofmann K. H. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7, D-6100 Darmstadt, WestGermany NATIONALLICENCE 700 1- Wu T. S. Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A NATIONALLICENCE 700 1- Yang J. S. Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208, U.S.A NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 253-261 0305-0041 105:2<253 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge