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All Journal EKSAKTA: Journal of Sciences and Data Analysis Epsilon: Jurnal Matematika Murni dan Terapan CAUCHY: Jurnal Matematika Murni dan Aplikasi Delta-Pi : Jurnal Matematika dan Pendidikan Matematika Edumatsains Jurnal Matematika: MANTIK JMPM: Jurnal Matematika dan Pendidikan Matematika Teorema: Teori dan Riset Matematika Jurnal Cendekia : Jurnal Pendidikan Matematika Jambura Journal of Mathematics ComTech: Computer, Mathematics and Engineering Applications Jurnal Matematika UNAND Kumawula: Jurnal Pengabdian Kepada Masyarakat JURNAL PENDIDIKAN MIPA BERNAS: Jurnal Pengabdian Kepada Masyarakat Seminar Nasional Hasil Riset dan Pengabdian (SNHRP) Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Matematika Integratif Mathematical Sciences and Applications Journal
Edi Kurniadi
Departemen Matematika, FMIPA, Universitas Padjadjaran
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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 Alit Kartiwa Asep Supriatna Aurillya Queency Badrulfalah Badrulfalah Badrulfalah Badrulfalah Betty Subartini Diah Ayu Pratiwi Dody Jesaya Sinaga Ema Carnia Endang Rusyaman Firdaniza Firdaniza Henti Henti Henti Henti Herlina Napitupulu Isah Aisah Kankan Parmikanti Laily Wadil Muqadas Mohamad Nurzaman Muhammad Arief Budiman Muhammad Zaky Zachary Nurul Gusriani Putri Giza Maharani Putri Nisa Pratiwi Riaman Riaman Sisilia Sylviani Stanley P. Dewanto Sukono Sukono