TY - JOUR
TI - A computational approach for the classifications of all possible derivations of nilsolitons in dimension 9
AU - Kadioglu Hulya
JN - Thermal Science
PY - 2022
VL - 26
IS - 102
SP - 759
EP - 783
PT - Article
AB - In mathematics and engineering, a manifold is a topological space that  locally resembles Euclidean space near each point. Defining the best metric  for these manifolds have several engineering and science implications from  controls to optimization for generalized inner product applications of Gram  Matrices that appear in these applications. These smooth geometric manifold  applications can be formalized by Lie Groups and their Lie Algebras on its  infinitesimal elements. Nilpotent matrices that are matrices with zero power  with left-invariant metric on Lie group with non-commutative properties  namely non-abelian nilsoliton metric Lie algebras will be the focus of this  article. In this study, we present an algorithm to classify eigenvalues of  nilsoliton derivations for 9-D non-abelian nilsoliton metric Lie algebras  with non-singular Gram matrices.