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All Journal Jambura Journal of Mathematics
Putri Nisa Pratiwi
Universitas Padjadjaran
Mathematics

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Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 Putri Nisa Pratiwi; Edi Kurniadi; Firdaniza Firdaniza
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.22481

Abstract

In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions â‰¤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions â‰¤ 5 into quasi-Frobenius Lie algebras. The method employed in this research involves constructing a skew-symmetric 2-form in real Lie algebra, which also a nondegenerate 2-cocycle. The outcomes of this research reveal that there exists a class of filiform Lie algebras of dimensions $\le 5$ that can be classified as a quasi-Frobenius real Lie algebra. Furthermore, this research can be developed to classify higher dimensional filiform Lie algebras as quasi-Frobenius real Lie algebras.
Co-Authors Edi Kurniadi Firdaniza Firdaniza