Article
Isotopism and isomorphism classes of certain Lie algebras over finite fields
Author/s | Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel Núñez Valdés, Juan |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2015 |
Deposit Date | 2016-09-07 |
Published in |
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Abstract | In 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⟩ ... In 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. |
Citation | Falcón 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. |
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