44 citations · 138 across the 47 of their papers we have counts for
5 papers · 1 filter
Nets of real subspaces on homogeneous spaces and Algebraic Quantum Field Theory
Karl-Hermann Neeb
In these notes, we describe an interesting connection between unitary representations of Lie groups and nets of local algebras, as they appear in Algebraic Quantum Field Theory (AQ…
Orthogonal pairs of Euler elements I. Classification, fundamental groups and twisted duality
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
The current article continues our project on representation theory, Euler elements, causal homogeneous spaces and Algebraic Quantum Field Theory (AQFT). We call a pair (h,k) of Eul…
Crowned Lie groups and nets of real subspaces
Daniel Beltita, Karl-Hermann Neeb
We introduce the notion of a complex crown domain for a connected Lie group , and we use analytic extensions of orbit maps of antiunitary representations to these domains to con…
Open orbits in causal flag manifolds, modular flows and wedge regions
Karl-Hermann Neeb
We study open orbits of symmetric subgroups of a simple connected Lie group G on a causal flag manifold. First we show that a flag manifold M of G carries an invariant causal struc…
Fundamental polytope for the isometry group of an alcove
Lucas Seco, Arthur Garnier, Karl-Hermann Neeb
A fundamental alcove is a tile in a paving of a vector space by an affine reflection group . Its geometry encodes essential features of $W_{\mat…