| Title |
Abelian subalgebras in some particular types of Lie algebras |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F. |
| External publication |
Si |
| Means |
Nonlinear Anal.-Theory Methods Appl. |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
1 |
| SJR Quartile |
1 |
| JCR Impact |
1.48700 |
| SJR Impact |
1.40400 |
| Publication date |
01/12/2009 |
| ISI |
000277763200044 |
| DOI |
10.1016/j.na.2008.11.006 |
| Abstract |
It is well-known that there exists a close link between Lie Theory and Relativity Theory. Indeed, the set of all symmetries of the metric in our four-dimensional spacetime is a Lie group. In this paper we try to study this link in depth, by dealing with three particular types of Lie algebras: h(n) algebras, g(n) algebras and Heisenberg algebras. Our main goal is to compute the maximal abelian dimensions of each of them, which will allow us to move a step forward in the advancement of this subject. (C) 2008 Elsevier Ltd. All rights reserved. |
| Keywords |
Maximal abelian dimension; Solvable Lie algebra; Nilpotent Lie algebra; Heisenberg algebras; Abelian subalgebras |
| Universidad Loyola members |
|
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