Title New Results in the Classification of Filiform Lie Algebras
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
External publication Si
Means Bulletin of the Malaysian Mathematical Sciences Society
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 2
JCR Impact 0.84
SJR Impact 0.626
Area International
Publication date 01/01/2017
ISI 000392066900024
DOI 10.1007/s40840-016-0321-7
Abstract In this paper, we present an algorithmic method to describe and classify filiform Lie algebras by considering the maximal dimension of abelian ideals and studying the relation between them and some known invariants of filiform Lie algebras. To do so, we have proved some new results about structure coefficients in the general law of filiform Lie algebras. Moreover, some mistakes are corrected in the already-known classification of filiform Lie algebras of dimension 8.
Keywords Filiform Lie algebra; Algorithmic method; Isomorphism classes; Structure coefficients; Invariants z(1) and z(2)
Universidad Loyola members

Change your preferences Manage cookies