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

Kadioglu, Hülya

doi:10.1155/2013/871930

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

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Kadioglu H.

ABSTRACT AND APPLIED ANALYSIS, 2013 (SCI-Expanded)

Publication Type: Article / Article
Publication Date: 2013
Doi Number: 10.1155/2013/871930
Journal Name: ABSTRACT AND APPLIED ANALYSIS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Open Archive Collection: AVESIS Open Access Collection
Yıldız Technical University Affiliated: Yes

Abstract

We classify some soliton nilpotent Lie algebras and possible candidates in dimensions 8 and 9 up toisomorphy. We focus on 1 < 2 < ... < n type of derivations, where n is the dimension of the Lie algebras. We present algorithms to generate possible algebraic structures.