K. Neeb

activity

20002026

most citedAbelian extensions of infinite-dimensional Lie groups

44 citations · 138 across the 44 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.RT2019

A Survey on Invariant Cones in Infinite Dimensional Lie Algebras

Karl-Hermann Neeb

For the Lie algebra $\g$ of a connected infinite-dimensional Lie group~ $G$ , there is a natural duality between so-called semi-equicontinuous weak-*-closed convex Ad^*(G)-invariant…

math.FA2019

Reflection positivity on spheres

Karl-Hermann Neeb, Gestur Olafsson

In this article we specialize a construction of a reflection positive Hilbert space due to Dimock and Jaffe--Ritter to the sphere $S^{n}$ . We determine the resulting Osterwa…

math.DG2019

Symmetric spaces with dissecting involutions

Karl-Hermann Neeb, Gestur Olafsson

An involutive diffeomorphism $σ$ of a connected smooth manifold $M$ is called dissecting if the complement of its fixed point set is not connected. Dissecting involutions on a comp…

math.DG2019

Central extensions of Lie groups preserving a differential form

Tobias Diez, Bas Janssens, Karl-Hermann Neeb +1

Let $M$ be a manifold with a closed, integral $(k + 1)$ -form $ω$ , and let $G$ be a Fréchet-Lie group acting on $(M, ω)$ . As a generalization of the Kostant-Souriau extension for sympl…

math.OA2019★ 1 cited

Finite dimensional semigroups of unitary endomorphisms of standard subspaces

Karl-Hermann Neeb

Let $V$ be a standard subspace in the complex Hilbert space $H$ and $G$ be a finite dimensional Lie group of unitary and antiunitary operators on $H$ containing the modular group $…