Laplacians on spheres
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 $$L^2(G/H)$$...
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| Format: | Article |
| Language: | English |
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Springer International Publishing
2021
|
| Online Access: | https://hdl.handle.net/1721.1/131472 |
| _version_ | 1826210896673767424 |
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| author | Schlichtkrull, Henrik Trapa, Peter E Vogan, David A |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Schlichtkrull, Henrik Trapa, Peter E Vogan, David A |
| author_sort | Schlichtkrull, Henrik |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:57:31Z |
| format | Article |
| id | mit-1721.1/131472 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:57:31Z |
| publishDate | 2021 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1314722023-12-13T16:50:03Z Laplacians on spheres Schlichtkrull, Henrik Trapa, Peter E Vogan, David A Massachusetts Institute of Technology. Department of Mathematics 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. 2021-09-20T17:17:13Z 2021-09-20T17:17:13Z 2018-07-30 2020-09-24T21:18:09Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131472 en https://doi.org/10.1007/s40863-018-0100-5 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. Instituto de Matemática e Estatística da Universidade de São Paulo application/pdf Springer International Publishing Springer International Publishing |
| spellingShingle | Schlichtkrull, Henrik Trapa, Peter E Vogan, David A Laplacians on spheres |
| title | Laplacians on spheres |
| title_full | Laplacians on spheres |
| title_fullStr | Laplacians on spheres |
| title_full_unstemmed | Laplacians on spheres |
| title_short | Laplacians on spheres |
| title_sort | laplacians on spheres |
| url | https://hdl.handle.net/1721.1/131472 |
| work_keys_str_mv | AT schlichtkrullhenrik laplaciansonspheres AT trapapetere laplaciansonspheres AT vogandavida laplaciansonspheres |