CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
Si
Nonlinear Anal.-Theory Methods Appl.
Article
Científica
1.487
1.404
01/12/2009
000277763200044
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.
Maximal abelian dimension; Solvable Lie algebra; Nilpotent Lie algebra; Heisenberg algebras; Abelian subalgebras