44 citations · 138 across the 48 of their papers we have counts for
5 papers · 1 filter
Elliptic domains in Lie groups
Jakob Hedicke, Karl-Hermann Neeb
An element of a Lie group is called stably elliptic if it is contained in the interior of the set of elliptic elements, characterized by the property that $\mathrm{Ad}(g)…
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…
Reflection positivity and its relation to disc, half plane and the strip
Maria Stella Adamo, Karl-Hermann Neeb, Jonas Schober
We develop a novel perspective on reflection positivity (RP) on the strip by systematically developing the analogies with the unit disc and the upper half plane in the complex plan…
Covariant projective representations of Hilbert-Lie groups
Karl-Hermann Neeb, Francesco G. Russo
Hilbert--Lie groups are Lie groups whose Lie algebra is a real Hilbert space whose scalar product is invariant under the adjoint action. These infinite-dimensional Lie groups are t…
Realization of unitary representations of the Lorentz group on de Sitter space
Jan Frahm, Karl-Hermann Neeb, Gestur Olafsson
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups acting on a non-compactly causal symmetric space , every…