Journal of Nonlinear Mathematical Physics

Volume 4, Issue 3-4, September 1997, Pages 445 - 454

On Subalgebras of the Conformal Algebra AC(2,2)

Authors
A.F. Barannyk
Corresponding Author
A.F. Barannyk
Available Online 1 September 1997.
DOI
10.2991/jnmp.1997.4.3-4.20How to use a DOI?
Abstract

Subalgebras of the Lie algebra AC(2, 2) of the group C(2, 2), which is the group of conformal transformations of the pseudo-Euclidean space R2,2, are studied. All subalgebras of the algebra AC(2, 2) are splitted into three classes, each of those is characterized by the isotropic rank 0, 1, or 3. We present the complete classification of the class 0 subalgebras and also of the class 3 subalgebras which satisfy an additional condition. The results obtained are applied to the reduction problem for the d'Alembert equation 2u + u3 = 0 in the space R2,2.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 3-4
Pages
445 - 454
Publication Date
1997/09/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.3-4.20How 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

TY  - JOUR
AU  - A.F. Barannyk
PY  - 1997
DA  - 1997/09/01
TI  - On Subalgebras of the Conformal Algebra AC(2,2)
JO  - Journal of Nonlinear Mathematical Physics
SP  - 445
EP  - 454
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.20
DO  - 10.2991/jnmp.1997.4.3-4.20
ID  - Barannyk1997
ER  -