Lattice in Rank One Lie Groups Over Local Fields.
A. Lubotzky (1991)
Geometric and functional analysis
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A. Lubotzky (1991)
Geometric and functional analysis
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G. Vranceanu (1964)
Annales Polonici Mathematici
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Mosak, Richard D., Moskowitz, Martin (1994)
Journal of Lie Theory
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Dwyer, W.G. (1998)
Documenta Mathematica
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Yoav Segev (1994)
Mathematische Zeitschrift
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Dave Witte (1995)
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Zachary Sarver, Tin-Yau Tam (2015)
Special Matrices
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We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.
Oueslati, H. (2009)
Beiträge zur Algebra und Geometrie
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Teichmann, Josef (2001)
Journal of Lie Theory
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do Rocio, Osvaldo Germano, San Martin, Luiz A.B. (1995)
Journal of Lie Theory
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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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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...