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arXiv · 1803.01267

Laplacians on spheres

Henrik Schlichtkrull·Peter Trapa·David A. Vogan, Jr.
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Abstract

Spheres can be written as homogeneous spaces $G/H$ for compact Lie groups in a small number of ways. In each case, the decomposition of $L^2(G/H)$ into irreducible representations of $G$ contains interesting information. We recall these decompositions, and see what they can reveal about the analogous problem for noncompact real forms of $G$ and $H$.

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Henrik Schlichtkrull, Peter Trapa, David A. Vogan, Jr.. 2018-03-03. Laplacians on spheres. https://arxiv.org/abs/1803.01267

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