A connected complex simple centerfree Lie group whose exponential function is not surjective.
Wüstner, Michael (1995)
Journal of Lie Theory
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Wüstner, Michael (1995)
Journal of Lie Theory
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Journal of Lie Theory
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Journal für die reine und angewandte Mathematik
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Kriegl, Andreas, Michor, Peter W. (1997)
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Mittenhuber, Dirk (1995)
Journal of Lie Theory
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Annales Polonici Mathematici
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Wüstner, Michael (1998)
Journal of Lie Theory
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Breckner, Brigitte E. (2002)
Mathematica Pannonica
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Teichmann, Josef (2001)
Journal of Lie Theory
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Arnal, Didier, Ludwig, Jean (1994)
Journal of Lie Theory
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Dwyer, W.G. (1998)
Documenta Mathematica
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Thomas Ernst (2017)
Special Matrices
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In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding q-scalar products from an earlier paper. Then we discuss matrix q-Lie algebras with a modified q-addition, and compute the matrix q-exponential to form the corresponding n × n matrix, a so-called q-Lie group, or manifold, usually with...
Stroppel, Markus (1994)
Journal of Lie Theory
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Arnal, Didier, Baklouti, Ali, Ludwig, Jean, Selmi, Mohamed (2000)
Journal of Lie Theory
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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...