Low-dimensional Filiform Lie Algebras Over Finite Fields

机译：有限域上的低维丝状李代数

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. The idea lies in the representation of each Lie algebra by a certain type of graphs. Then, some properties on Graph Theory make easier to classify the algebras. As results, which can be applied in several branches of Physics or Engineering, for instance, we find out that there exist, up to isomorphism, six 6-dimensional filiform Lie algebras over Z/pZ, for p = 2,3,5.

机译：在本文中，我们使用图论的某些对象对有限域上的低维丝状李代数进行分类。这个想法在于通过某种类型的图来表示每个李代数。然后，图论上的某些属性使代数的分类更加容易。结果可以应用于例如物理或工程学的多个分支，我们发现直到同构，在Z / pZ上存在六个6维丝状李代数，其中p = 2,3,5。

著录项

来源
《Recent Researches in Applied and Computational Mathematics》|2011年|p.66-71|共6页
会议地点 Canary Islands(ES);Canary Islands(ES)
作者
OSCAR J. FALCON; JUAN NUNEZ; ANA M. PACHECO; M. TRINIDAD VILLAR;
展开▼
作者单位

University of Seville Department of Geometry and Topology Aptdo. 1160. 41080-Seville SPAIN;

University of Seville Department of Geometry and Topology Aptdo. 1160. 41080-Seville SPAIN;

University of Seville Department of Applied Mathematics I Avda. Reina Mercedes s 41012-Seville SPAIN;

University of Seville Department of Geometry and Topology Aptdo. 1160. 41080-Seville SPAIN;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类计算数学;应用数学;
关键词
bipartite graph; adjacency matrix; classification; filiform lie algebra; finite fields; applica- tions to physics;

机译：二部图邻接矩阵分类;丝状李代数有限域物理应用;

相似文献

外文文献
中文文献
专利

1. Classification of Filiform Lie Algebras up to dimension 7 Over Finite Fields [J] . Universitatea "Ovidius" Constanta. Analele. Seria Matematica . 2016,第2016期

机译：有限域上达7维的丝状李代数的分类
2. Low-dimensional filiform Lie algebras [J] . Gomez JR., Khakimdjanov Y., Jimenez-Merchan A. Journal of pure and applied algebra . 1998,第2期

机译：低维丝状李代数
3. Description of nine dimensional complex filiform Leibniz algebras arising from naturally graded non Lie filiform Leibniz algebras [J] . S. Heidari, M. J. Nikmehr, F. Shaveisi International journal of algebra . 2009,第17a20期

机译：自然梯度非李丝状莱布尼兹代数产生的九维复丝状莱布尼兹代数的描述
4. Low-dimensional Filiform Lie Algebras Over Finite Fields [C] . OSCAR J. FALCON, JUAN NUNEZ, ANA M. PACHECO, International Conference on Applied and Computational Mathematics . 2011

机译：有限田地的低维丝状谎言代数
5. Pro-finite Lie rings and p-adic Lie algebras. [D] . McInnes, Leland. 2007

机译：有限李环和p-adic李代数。
6. Algebraic complexities and algebraic curves over finite fields [O] . D. V. Chudnovsky, G. V. Chudnovsky 1987

机译：有限域上的代数复杂度和代数曲线
7. Classification of filiform Lie algebras up to dimension 7 over finite fields [O] . Falcón Ganfornina, Óscar Jesús, Falcón Ganfornina, Raúl Manuel, Núñez Valdés, Juan, 2016

机译：有限域上达7维的丝状李代数的分类
8. Classification of Graded, Finite-Dimensional Lie Algebras of Vector Fields [R] . Post, G. F. 1993

机译：向量场的分次有限维李代数的分类

Low-dimensional Filiform Lie Algebras Over Finite Fields

摘要

著录项

相似文献

相关主题

期刊订阅