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

Abstract

In this study, we classify some soliton nilpotent Lie algebras and possible candidates in dimension 8 and 9 up to isomorphy. We focus on 1 < 2 < ::: < n type of derivations where n is the dimension of the Lie algebras. We present algorithms to generate possible algebra structures.

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