Laplacians on spheres
Name
40863_2018_100_ReferencePDF.pdf
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439.43 KB
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Adobe PDF
Checksum (MD5)
c325aa84a35e0796e4c82ca051b4f608
Author(s)
Schlichtkrull, Henrik
Trapa, Peter E
Vogan, David A
Date Issued
July 30, 2018
Publisher
Springer International Publishing
Version
Author's final manuscript
Abstract
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
$$L^2(G/H)$$
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s40863-018-0100-5
