Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5
In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 5 into quasi-Frobenius Lie algebras. The method employed in this re...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Universitas Negeri Gorontalo
2024-02-01
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| Series: | Jambura Journal of Mathematics |
| Subjects: | |
| Online Access: | https://ejurnal.ung.ac.id/index.php/jjom/article/view/22481 |
| _version_ | 1797291985088806912 |
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| author | Putri Nisa Pratiwi Edi Kurniadi Firdaniza Firdaniza |
| author_facet | Putri Nisa Pratiwi Edi Kurniadi Firdaniza Firdaniza |
| author_sort | Putri Nisa Pratiwi |
| collection | DOAJ |
| description | In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 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. |
| first_indexed | 2024-03-07T19:45:41Z |
| format | Article |
| id | doaj.art-a5dd0e1603f644bda76a098ebc294ec8 |
| institution | Directory Open Access Journal |
| issn | 2654-5616 2656-1344 |
| language | English |
| last_indexed | 2024-03-07T19:45:41Z |
| publishDate | 2024-02-01 |
| publisher | Department of Mathematics, Universitas Negeri Gorontalo |
| record_format | Article |
| series | Jambura Journal of Mathematics |
| spelling | doaj.art-a5dd0e1603f644bda76a098ebc294ec82024-02-29T02:09:22ZengDepartment of Mathematics, Universitas Negeri GorontaloJambura Journal of Mathematics2654-56162656-13442024-02-0161111510.37905/jjom.v6i1.224817015Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5Putri Nisa Pratiwi0Edi Kurniadi1Firdaniza Firdaniza2Universitas PadjadjaranUniversitas PadjadjaranUniversitas PadjadjaranIn this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 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.https://ejurnal.ung.ac.id/index.php/jjom/article/view/22481filiform lie algebraquasi-frobenius lie algebranondegenerate 2-cocycle |
| spellingShingle | Putri Nisa Pratiwi Edi Kurniadi Firdaniza Firdaniza Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 Jambura Journal of Mathematics filiform lie algebra quasi-frobenius lie algebra nondegenerate 2-cocycle |
| title | Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 |
| title_full | Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 |
| title_fullStr | Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 |
| title_full_unstemmed | Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 |
| title_short | Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 |
| title_sort | klasifikasi aljabar lie forbenius quasi dari aljabar lie filiform berdimensi ≤ 5 |
| topic | filiform lie algebra quasi-frobenius lie algebra nondegenerate 2-cocycle |
| url | https://ejurnal.ung.ac.id/index.php/jjom/article/view/22481 |
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