Isotopism and Isomorphism Classes of Certain Lie Algebras over Finite Fields

被引：4
作者：
Falcon, O. J. [1 ]
Falcon, R. M. [2 ]
Nunez, J. [1 ]
机构：
[1] Univ Seville, Fac Math, Dept Geometria & Topol, Seville, Spain
[2] Univ Seville, Dept Matemat Aplicada 1, Seville, Spain
来源：
RESULTS IN MATHEMATICS | 2017年 / 71卷 / 1-2期
关键词：
Lie algebra; isotopism; isomorphism;
D O I：
10.1007/s00025-015-0502-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current paper, we study the distribution into isotopism and isomorphism classes of the relevant family of Lie algebras of basis and nonzero brackets over a finite field , 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 and three families of isomorphism classes depending on the first component of their structure tuple.
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页码：167 / 183
页数：17
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