Laplacians on spheres
Representation Theory
2018-07-24 v2
Abstract
Spheres can be written as homogeneous spaces for compact Lie groups in a small number of ways. In each case, the decomposition of into irreducible representations of contains interesting information. We recall these decompositions, and see what they can reveal about the analogous problem for noncompact real forms of and .
Cite
@article{arxiv.1803.01267,
title = {Laplacians on spheres},
author = {Henrik Schlichtkrull and Peter Trapa and David A. Vogan,},
journal= {arXiv preprint arXiv:1803.01267},
year = {2018}
}