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arXiv · 0712.4375

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

V. K. Dobrev
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Abstract

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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V. K. Dobrev. 2007-12-28. Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps. https://doi.org/10.1088/1751-8113/41/42/425206

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