Falcón Ganfornina, Óscar JesúsFalcón Ganfornina, Raúl ManuelNúñez Valdés, Juan2016-09-072016-09-072015Falcón Ganfornina, O.J., Falcón Ganfornina, R.M. y Núñez Valdés, J. (2016). Isotopism and isomorphism classes of certain Lie algebras over finite fields. Results in Mathematics, 1-17.1422-63831420-9012http://hdl.handle.net/11441/44770In the current paper, we study the distribution into isotopism and isomorphism classes of the relevant family FpnFnp of Lie algebras of basis {e1,…,en}{e1,…,en} and nonzero brackets [ei,en]∈⟨e1,…,en−1⟩[ei,en]∈⟨e1,…,en−1⟩ over a finite field FpFp , with p prime. At this end we first introduce the concept of the structure tuple of a Lie algebra and specifically prove that there exist n isotopism classes in FpnFnp and three families of isomorphism classes depending on the first component of their structure tuple.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Lie algebraIsotopismIsomorphisminfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s00025-015-0502-y