Trotter's formula on infinite dimensional Lie groups.
Teichmann, Josef (2001)
Journal of Lie Theory
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Teichmann, Josef (2001)
Journal of Lie Theory
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Wiesław Kubiś, Sławomir Turek (2011)
Open Mathematics
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We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
G. Vranceanu (1964)
Annales Polonici Mathematici
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Karl Hofmann, Sidney Morris, Markus Stroppel (1996)
Colloquium Mathematicae
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In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
P. Schneider (1987)
Inventiones mathematicae
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Daniel Beltiţă, Karl-Hermann Neeb (2008)
Studia Mathematica
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We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion...
Wüstner, Michael (1997)
Journal of Lie Theory
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Douglas, Roy R. (1996)
Mathematical Physics Electronic Journal [electronic only]
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Georges Giraud, Michel Boyom (2004)
Open Mathematics
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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Stroppel, Markus (1994)
Journal of Lie Theory
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Kriegl, Andreas, Michor, Peter W. (1997)
Journal of Lie Theory
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Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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