Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps
High Energy Physics - Theory
2021-12-07 v5 Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
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.
Keywords
Cite
@article{arxiv.0712.4375,
title = {Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps},
author = {V. K. Dobrev},
journal= {arXiv preprint arXiv:0712.4375},
year = {2021}
}
Comments
28 pages, TEX with Harvmac using amssym.def, amssym.tex, epsf.tex; v2: new texts in Sections 1 & 3, new refs; v3: added 5 figures; v4,v5: small corrections