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Description of some families of filiform Lie algebras
(University of Houston, 2008)
In this paper we describe some families of filiform Lie algebras by giving a method which allows to obtain them in any arbitrary dimension n starting from the triple (p, q, m), where m = n and p and q are, respectively, ...
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Minimal linear representations of the low-dimensional nilpotent lie algebras
(2008)
The main goal of this paper is to compute a minimal matrix representation for each non-isomorphic nilpotent Lie algebra of dimension less than 6. Indeed, for each of these algebras, we search the natural number n ∈ N \ ...