A COMPUTATIONAL APPROACH FOR THE CLASSIFICATIONS OF ALL POSSIBLE DERIVATIONS OF NILSOLITONS IN DIMENSION 9

KADIOĞLU H.

Thermal Science, cilt.26, sa.SpecialIssue2, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: SpecialIssue2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/tsci22s2759k
  • Dergi Adı: Thermal Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Anahtar Kelimeler: nilsoliton metrics, nilradical, solvable lie algebra
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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 op-timization for generalized inner product applications of Gram Matrices that ap-pear 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 algo-rithm to classify eigenvalues of nilsoliton derivations for 9-D non-abelian nilsoli-ton metric Lie algebras with non-singular Gram matrices.