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/).
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 -