Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps

V.K. Dobrev
Arxiv ID: 0712.4375Last updated: 12/7/2021
Let G be a semi-simple non-compact Lie group with unitary lowest/highest weight representations. We consider explicitly the relation between three types of representations of G: positive energy (unitary lowest weight)representations, (holomorphic) discrete series representations and non-unitary finite-dimensional irreps. We consider mainly the conformal groups SO(n,2) treating in full detail the cases n=1,3,4.

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