Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 2, May 2003, Pages 136 - 140

Representations of the Conformal Lie Algebra in the Space of Tensor Densities on the Sphere

Authors
Pascal Redou
Corresponding Author
Pascal Redou
Received 11 June 2002, Accepted 2 August 2002, Available Online 1 May 2003.
DOI
10.2991/jnmp.2003.10.2.1How to use a DOI?
Abstract

Let F(Sn ) be the space of tensor densities on Sn of degree . We consider this space as an induced module of the nonunitary spherical series of the group SO0(n+1, 1) and classify (so(n+1, 1), SO(n+1))-simple and unitary submodules of F(Sn ) as a function of .

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 2
Pages
136 - 140
Publication Date
2003/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.2.1How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Pascal Redou
PY  - 2003
DA  - 2003/05/01
TI  - Representations of the Conformal Lie Algebra in the Space of Tensor Densities on the Sphere
JO  - Journal of Nonlinear Mathematical Physics
SP  - 136
EP  - 140
VL  - 10
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.2.1
DO  - 10.2991/jnmp.2003.10.2.1
ID  - Redou2003
ER  -