Karl-Hermann Neeb

Semigroups in the universal covering group of SL(2)

AbstractUsing an explicit parametrization of the three dimensional simply connected Lie group

On wedges in Lie triple systems and ordered symmetric spaces

\widetilde{Sl}

Orthogonal lie algebras with cone potential

(2) we compute the differentialdλg of left multiplication explicitly and derive a simple description of the one-parameter sugroups.Applying this and some very explicit calculations, we obtain detailed information about a one-parameter family of Lorentzian cones in sl(2) and the semigroups generated by their exponential images. This information is used to characterize the cones in sl(2) whose exponential image generates the whole group

Holomorphic representation theory II

\widetilde{Sl}

Tube domains in Stein symmetric spaces

(2). These are exactly the cones lying in a half-space whose boundary is a hyperplane subalgebra of sl(2). We also give a control theoretical interpretation of this result.

Conal Heisenberg algebras and associated Hilbert spaces.

AbstractLet (G, H) be an irreducible semisimple symmetric pair,P