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Artículo
Minimal faithful upper-triangular matrix representations for solvable Lie algebras
(Elsevier, 2017-07)
A well-known result on Lie Theory states that every finite-dimensional complex solvable Lie algebra can be represented as a matrix Lie algebra, with upper-triangular square matrices as elements. However, this result does ...
Artículo
Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective
(Ovidius University, 2016)
In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras ...
Artículo
The computation of Abelian subalgebras in low-dimensional solvable Lie algebras
(World Scientific and Engineering Academy and Society (WSEAS), 2010-01)
The main goal of this paper is to compute the maximal abelian dimension of each solvable nondecomposable Lie algebra of dimension less than 7. To do it, we apply an algorithmic method which goes ruling out non-valid maximal ...