Generalized harmonic functions and unitary representations of low dimensional Lie groups

30th International Colloquium on Group Theoretical Methods in Physics

Campoamor-Stursberg, R.^1 ; De Traubenberg, M Rausch^2

I.M.I-U.C.M, Plaza de Ciencias 3, Madrid

E-28040, Spain^1

IPHC-DRS, UdS, CNRS, 23 rue du Loess, Strasbourg, Cedex

67037, France^2

关键词: Low dimensional;    Two-dimension;    Unitary representations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012021/pdf
DOI  :  10.1088/1742-6596/597/1/012021

来源: IOP

【 摘 要 】

The unitary representations of the three dimensional simple Lie groups are reconsidered from the perspective of harmonic functions acting on certain manifolds related to differential realisations of the groups themselves. By means of contractions of Lie groups, the procedure is also applied to the group E2of rotations-translations in two dimensions.