Laplacians on spheres

Henrik Schlichtkrull; Peter Trapa; David Vogan

doi:10.1007/s40863-018-0100-5

Laplacians on spheres

Henrik Schlichtkrull, Peter Trapa, David Vogan

Department of Mathematical Sciences

2 Citations (Scopus)

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 L²(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.

Original language	English
Journal	Sao Paulo Journal of Mathematical Sciences
Volume	12
Issue number	2
Pages (from-to)	295-358
ISSN	1982-6907
DOIs	https://doi.org/10.1007/s40863-018-0100-5
Publication status	Published - 1 Dec 2018

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title = "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 L2(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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AU - Schlichtkrull, Henrik

AU - Trapa, Peter

AU - Vogan, David

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N2 - 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 L2(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.

AB - 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 L2(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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DO - 10.1007/s40863-018-0100-5

M3 - Journal article

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VL - 12

SP - 295

EP - 358

JO - Sao Paulo Journal of Mathematical Sciences

JF - Sao Paulo Journal of Mathematical Sciences

IS - 2

ER -

Laplacians on spheres

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