Classification of Ordered Type Soliton Metric Lie Algebras by a Computational Approach-Reference-Cited by-同舟云学术

Classification of Ordered Type Soliton Metric Lie Algebras by a Computational Approach

Published:2013 Issue: Volume:2013 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kadıoğlu Hülya¹^ORCID

Affiliation:

1. Department of Mathematics Education, Yıldız Technical University, 34210 Esenler, İstanbul, Turkey

Abstract

We classify some soliton nilpotent Lie algebras and possible candidates in dimensions 8 and 9 up toisomorphy.We focus on type of derivations, where is the dimension of the Lie algebras. We present algorithms to generate possible algebraic structures.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/871930.pdf

Reference11 articles.

1. Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2

2. Finding Einstein solvmanifolds by a variational method

3. Rank-one Einstein solvmanifolds of dimension 7

4. Computational methods for nilsoliton metric Lie algebras I

5. Classification of 7-dimensional einstein nilradicals

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A computational approach for the classifications of all possible derivations of nilsolitons in dimension 9;Thermal Science;2022

2. Classification of 8-dimensional Nilsolitons by Symbolic Computation;GAZI UNIVERSITY JOURNAL OF SCIENCE;2021-09-13

3. On Some Structural Components of Nilsolitons;Mathematical Problems in Engineering;2021-05-15

4. A computational procedure on higher‐dimensional nilsolitons;Mathematical Methods in the Applied Sciences;2018-11-28