Trotter's formula on infinite dimensional Lie groups.
Teichmann, Josef (2001)
Journal of Lie Theory
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Displaying similar documents to “Regular infinite dimensional Lie groups.”
Trotter's formula on infinite dimensional Lie groups.
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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...
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-generation of finite simple groups.
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On Faithful Representations of the Holomorph of Lie Groups.
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Besov algebras on Lie groups of polynomial growth
Isabelle Gallagher, Yannick Sire (2012)
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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.
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A. Мальцев (1945)
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James E. Humphreys (1971)
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On universal enveloping algebras in a topological setting
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...