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Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Conal orders on homogeneous spaces.

K.-H. Neeb — 1991

Inventiones mathematicae

Monotone functions on symmetric spaces.

K.-H. Neeb — 1991

Mathematische Annalen

Semibounded Unitary Representations of Double Extensions of Hilbert–Loop Groups

K. H. Neeb — 2014

Annales de l’institut Fourier

A unitary representation $π$ of a, possibly infinite dimensional, Lie group $G$ is called semibounded if the corresponding operators $i d π (x)$ from the derived representation are uniformly bounded from above on some non-empty open subset of the Lie algebra $𝔤$ of $G$ . We classify all irreducible semibounded representations of the groups ${\hat{ℒ}}_{φ} (K)$ which are double extensions of the twisted loop group $ℒ_{φ} (K)$ , where $K$ is a simple Hilbert–Lie group (in the sense that the scalar product on its Lie algebra is invariant) and $φ$ is...

Conal Heisenberg algebras and associated Hilbert spaces.

J. Hilgert; K.-H. Neeb; Bent Orsted — 1996

Journal für die reine und angewandte Mathematik

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