The enveloping group of a lie algebra
Groups of strings.
Lie algebra of a family of one-parameter subgroups
One-parameter subgroups and the B-C-H formula
An algebraic scheme for Lie theory of topological groups with "large" families of one-parameter subgroups is proposed. Such groups are quotients of "𝔼ℝ-groups", i.e. topological groups equipped additionally with the continuous exterior binary operation of multiplication by real numbers, and generated by special ("exponential") elements. It is proved that under natural conditions on the topology of an 𝔼ℝ-group its group multiplication is described by the B-C-H formula in terms of the associated...
Banach spaces admitting essentially infinite-dimensional representation of a compact group
Quotient groups of linear topological spaces
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