Ceballos González, ManuelNúñez Valdés, JuanTenorio Villalón, Ángel Francisco2016-07-072016-07-072009Ceballos González, M., Núñez Valdés, J. y Tenorio Villalón, Á.F. (2009). An algorithm to compute abelian subalgebras in linear algebras of upper-triangular matrices. AIP Conference Proceedings, 1148, 53-56.0094-243X1551-7616http://hdl.handle.net/11441/43345This paper deals with the maximal abelian dimension of the Lie algebra hn, of nxn upper-triangular matrices. Regarding this, we obtain an algorithm which computes abelian subalgebras of hn as well as its implementation (and a computational study) by using the symbolic computation package MAPLE, where the order n of the matrices in hn is the unique input needed. Let us note that the algorithm also allows us to obtain a maximal abelian subalgebra of hn.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Maximal abelian dimensionSolvable Lie algebraAlgorithmic procedureprogramminginfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1063/1.3225370