44 citations · 138 across the 44 of their papers we have counts for
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Orthogonal pairs of Euler elements II: Geometric Bisognano--Wichmann and Spin--Statistics Theorems
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
Models in Algebraic Quantum Field Theory (AQFT) may be generalized including Lie groups of symmetries whose Lie algebras admit an Euler element , characterized by the property t…
Algebraic Quantum Field Theory and Causal Symmetric Spaces
Karl-Hermann Neeb, Gestur Olafsson
In this article we review our recent work on the causal structure of symmetric spaces and related geometric aspects of Algebraic Quantum Field Theory. Motivated by some general res…
Positive energy representations of gauge groups I: Localization
Bas Janssens, Karl-Hermann Neeb
This is the first in a series of papers on projective positive energy representations of gauge groups. Let be a principal fiber bundle, and let $Γ_{c}(M,\mathrm{Ad…
Covariant homogeneous nets of standard subspaces
Vincenzo Morinelli, Karl-Hermann Neeb
Rindler wedges are fundamental localization regions in AQFT. They are determined by the one-parameter group of boost symmetries fixing the wedge. The algebraic canonical constructi…
Nets of standard subspaces on Lie groups
Karl-Hermann Neeb, Gestur Olafsson
Let G be a Lie group with Lie algebra , an element for which the derivation ad(h) defines a 3-grading of and an involutive autom…
Reflection negative kernels and fractional Brownian motion
P. Jorgensen, K. -H. Neeb, G. Olafsson
In this article we study the connection of fractional Brownian motion, representation theory and reflection positivity in quantum physics. We introduce and study reflection positiv…