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math-ph2024
Realization of unitary representations of the Lorentz group on de Sitter space
Jan Frahm, Karl-Hermann Neeb, Gestur Olafsson
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups acting on a non-compactly causal symmetric space , every…
math.RT2024
The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula II. Non-tube type groups
Jan Frahm, Gestur Ólafsson, Bent Ørsted
For every simple Hermitian Lie group , we consider a certain maximal parabolic subgroup whose unipotent radical is either abelian (if is of tube type) or two-step nilpot…