| 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 | 1.487 |
| SJR Impact | 1.404 |
| 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 |