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math.RT2025
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…
math.RT2025
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…