We describe new construction principles for infinite-dimensional Lie groups. In particular, given any measure space (X,∑,μ) and (possibly ...
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A smooth Lie group is a group, equipped with a smooth manifold structure modelled on a Hausdorff lo- cally convex space, with respect to which the group ...
We describe new construction principles for infinite-dimensional Lie groups. In particular, given any measure space (X, ,µ) and (possibly ...
Abstract We describe new construction principles for infinite-dimensional Lie groups. In particular, given any measure space $\left( X,\,\sum ,\,\mu ...
Oct 22, 2024 · We describe new construction principles for infinite-dimensional Lie groups. In particular, given any measure space (X, Sigma, ...
The existence of the exponential map is one of the primary reasons that Lie algebras are a useful tool for studying Lie groups. The ordinary exponential ...
By results of Proposition 3.12, any map ϕ of Lie groups gives rise to a map ϕ∗ of Lie algebras ... Lie groups and Lie algebras III, Encyclopaedia Math. Sci ...
Sep 26, 2022 · The basic constructing passing from a Lie algebra to 'its' Lie group is the exponential mapping. This mapping identifies a neighborhood of the ...
Beginning Details. Definition 1.1. A Lie group is a group G with the structure of a smooth manifold, such that the inversion and multiplication maps.
We review some of the key theorems relating the structures of a Lie group and its corresponding Lie algebra. Recall that for a matrix Lie group G ⊂ Gl(n) ...
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