The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 89-166
Full Name: Angel F. Tenorio
Position: Assistant Professor
Age: ON
Sex: Male
Address: Dpto. Economia, Metodos Cuantitativos e Historia Economica. Universidad Pablo de Olavide. Ctra Utrera Km. 1. 41013-Sevilla
Country: SPAIN
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E-mail address: aftenorio@upo.es
Other E-mails: aftenvil@upo.es
Title of the Paper: The Computation of Abelian Subalgebras in Low-Dimensional Solvable Lie Algebras
Authors as they appear in the Paper: Manuel Ceballos, Juan N\'u\~nez, Ãngel F. Tenorio
Email addresses of all the authors: mceballos@us.es,jnvaldes@us.es,aftenorio@upo.es
Number of paper pages: 10
Abstract: The main goal of this paper is to compute the {\em maximal abelian dimension} of each solvable non-decomposable Lie algebra of dimension less than $7$. To do it, we apply an algorithmic method which goes ruling out non-valid maximal abelian dimensions until obtaining its exact value. Based on Mubarakzyanov and Turkowsky's classical classifications of solvable Lie algebras (see \cite{Mu} and \cite{Tur}) and the classification of $6$-dimensional nilpotent Lie algebras by Goze and Khakimdjanov \cite{Go-Kha}, we have explicitly computed the maximal abelian dimension for the algebras given in those classifications.
Keywords: Solvable Lie Algebra, Maximal Abelian Dimension
EXTENSION of the file: .pdf
Special (Invited) Session: Abelian Subalgebras in Low-Dimensional Solvable Lie Algebras
Organizer of the Session: 697-235
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