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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Dwyer, W.G. (1998)
Documenta Mathematica
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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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Sitarz, Andrzej, Zgliczyński, Piotr (1996)
Mathematical Physics Electronic Journal [electronic only]
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Vaisman, Izu (2000)
Journal of Lie Theory
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C.H. Chapman (1893)
Bulletin of the New York Mathematical Society
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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...
Shiing-shen Chern, Chia-kuei Peng (1979)
Manuscripta mathematica
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Stein, Alexander (1998)
Beiträge zur Algebra und Geometrie
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Ta-Sun Wu, Dong Hoon Lee (1986)
Mathematische Annalen
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A. Мальцев (1945)
Matematiceskij sbornik
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James E. Humphreys (1971)
Mathematische Zeitschrift
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Isabelle Gallagher, Yannick Sire (2012)
Studia Mathematica
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We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.
Daniel Beltiţă, Mihai Nicolae (2015)
Studia Mathematica
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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...
Н. Чеботарев (1942)
Matematiceskij sbornik
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Neeb, Karl-Hermann (1996)
Journal of Lie Theory
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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.