Title Abelian subalgebras in some particular types of Lie algebras
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
External publication Si
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
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