For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie wedge W [...] g. If S is a Lie subsemigroup of G with subtangent wedge W we give sufficient conditions for S to be free on small enough local semigroups U [...] S in the sense that continuous local homomorphisms extend to global ones on S. The constructions involve developing a homotopy theory of U [...] S -directed paths. We also consider settings where the free construction leads to a simply connected covering of S.Fapesp (Grant No 2012/20818-5
Let G be a noncompact semi-simple Lie group and S subset of G a Lie semigroup with nonempty interior...
If the nilradical () of the Lie algebra of a pro-Lie group G is finite dimensional modulo the center...
International audienceIf G is either a connected Lie group, or a finitely generated solvable group w...
We introduce the notions of causal paths and causal homotopies, modifications of the traditional not...
AbstractThe semigroup version of Lie's Third Fundamental Theorem asserts that each strictly positive...
AbstractSophus Lie's third theorem asserts that for every finite dimensional Lie algebra there is a ...
AbstractThe semigroup version of Lie's Third Fundamental Theorem asserts that each strictly positive...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
up is a Lie semialgebra, or, equivalently, if it generates a locally divisible local semigroup in so...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
Let G be a connected Lie group and S a generating Lie semigroup. An important fact is that generatin...
A cone field assigns to each point of a differentiable manifold a cone in the tangent space. The int...
AbstractWe study locally compact group topologies on simple and semisimple Lie groups. We show that ...
Let G be a noncompact semi-simple Lie group and S subset of G a Lie semigroup with nonempty interior...
If the nilradical () of the Lie algebra of a pro-Lie group G is finite dimensional modulo the center...
International audienceIf G is either a connected Lie group, or a finitely generated solvable group w...
We introduce the notions of causal paths and causal homotopies, modifications of the traditional not...
AbstractThe semigroup version of Lie's Third Fundamental Theorem asserts that each strictly positive...
AbstractSophus Lie's third theorem asserts that for every finite dimensional Lie algebra there is a ...
AbstractThe semigroup version of Lie's Third Fundamental Theorem asserts that each strictly positive...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
up is a Lie semialgebra, or, equivalently, if it generates a locally divisible local semigroup in so...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
Let G be a connected Lie group and S a generating Lie semigroup. An important fact is that generatin...
A cone field assigns to each point of a differentiable manifold a cone in the tangent space. The int...
AbstractWe study locally compact group topologies on simple and semisimple Lie groups. We show that ...
Let G be a noncompact semi-simple Lie group and S subset of G a Lie semigroup with nonempty interior...
If the nilradical () of the Lie algebra of a pro-Lie group G is finite dimensional modulo the center...
International audienceIf G is either a connected Lie group, or a finitely generated solvable group w...