Lie groups and -compact groups.
Dwyer, W.G. (1998)
Documenta Mathematica
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Dwyer, W.G. (1998)
Documenta Mathematica
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Annales Polonici Mathematici
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Teichmann, Josef (2001)
Journal of Lie Theory
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Stein, Alexander (1998)
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Daniel Beltiţă, Karl-Hermann Neeb (2008)
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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...
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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Oueslati, H. (2009)
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James E. Humphreys (1971)
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Daniel Beltiţă, Mihai Nicolae (2015)
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We study some embeddings of suitably topologized spaces of vector-valued smooth functions on topological groups, where smoothness is defined via differentiability along continuous one-parameter subgroups. As an application, we investigate the canonical correspondences between the universal enveloping algebra, the invariant local operators, and the convolution algebra of distributions supported at the unit element of any finite-dimensional Lie group, when one passes from finite-dimensional...
Viktor Losert (1987)
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Otera, Daniele Ettore, Russo, Francesco G. (2010)
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Ta-Sun Wu, Dong Hoon Lee (1986)
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Jesper M. Møller (2007)
Fundamenta Mathematicae
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This is the second part of a paper about the classification of 2-compact groups. In the first part we set up a general classification procedure and applied it to the simple 2-compact groups of the A-family. In this second part we deal with the other simple Lie groups and with the exotic simple 2-compact group DI(4). We show that all simple 2-compact groups are uniquely N-determined and conclude that all connected 2-compact groups are uniquely N-determined. This means that two connected...
Yablan, Slavik (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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S. Lajos (1964)
Matematički Vesnik
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