45 citations · 198 across the 112 of their papers we have counts for
15 papers · 1 filter
Generic infinite generation, fixed-point-poor representations and compact-element abundance in disconnected Lie groups
Alexandru Chirvasitu
The semidirect product attached to a compact-group action on a connected, simply-connected solvable Lie group has a dense set of compact e…
Pervasive ellipticity in locally compact groups
Alexandru Chirvasitu
A topological group is (openly) almost-elliptic if it contains a(n open) dense subset of elements generating relatively-compact cyclic subgroups. We classify the (openly) almost-el…
Proper actions and supported-section-valued cohomology
Alexandru Chirvasitu
Consider a proper action of on a smooth (perhaps non-paracompact) manifold . The cohomology valued in t…
Deformations of nearby subgroups and approximate Jordan constants
Alexandru Chirvasitu
Let be a Banach Lie group and an ad-bounded subset thereof, in the sense that there is a uniform bound on the adjoint operators induced by elem…
On the singularities of the exponential function of a semidirect product
Alexandru Chirvasitu, Rafael Dahmen, Karl-Hermann Neeb +1
We show that the Fréchet--Lie groups of the form resulting from smooth flows on compact manifolds fail to be locally exponential in several ca…
Straightening Banach-Lie-group-valued almost-cocycles
Alexandru Chirvasitu
For a compact group acting continuously on a Banach Lie group , we prove that maps close to being 1-cocycles for the action can…