Unitary representations of three dimensional Lie groups revisited: An approach via harmonic functions
Mathematical Physics
2017-01-30 v3 High Energy Physics - Theory
math.MP
Representation Theory
Abstract
Harmonic functions of the three dimensional Lie groups defined on certain manifolds related to the Lie groups themselves and carrying all their unitary representations are explicitly constructed. The realisations of these Lie groups are shown to be related with each other by either natural operations as real forms or In\"on\"u-Wigner contractions.
Keywords
Cite
@article{arxiv.1404.4705,
title = {Unitary representations of three dimensional Lie groups revisited: An approach via harmonic functions},
author = {R. Campoamor-Stursberg and M. Rausch de Traubenberg},
journal= {arXiv preprint arXiv:1404.4705},
year = {2017}
}
Comments
The title was changed; More details are given for the constuction of harmonic functions 19 pages