Levi Decomposition of Frobenius Lie Algebra of Dimension 6
In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal. This form of decomposition is called Levi decomposition. The work aims to obtain Levi decomposition...
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| Format: | Article |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2022-10-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/15656 |
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| author | Henti Henti Edi Kurniadi Ema Carnia |
| author_facet | Henti Henti Edi Kurniadi Ema Carnia |
| author_sort | Henti Henti |
| collection | DOAJ |
| description | In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal. This form of decomposition is called Levi decomposition. The work aims to obtain Levi decomposition of Frobenius Lie algebra of dimension 6. To achieve this aim, we compute Levi subalgebra and the maximal solvable ideal (radical) of with respect to its basis. To obtain Levi subalgebra and the maximal solvable ideal, we apply literature reviews about Lie algebra and decomposition Levi in Dagli result. For future research, decomposition Levi for higher dimension of Frobenius Lie algebra is still an open problem. |
| format | Article |
| id | doaj-art-d02b971bed1743eaa5d7708e1ad109ce |
| institution | OA Journals |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2022-10-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-d02b971bed1743eaa5d7708e1ad109ce2025-08-20T02:12:49ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442022-10-017339440010.18860/ca.v7i3.156566573Levi Decomposition of Frobenius Lie Algebra of Dimension 6Henti Henti0Edi Kurniadi1Ema Carnia2Department of Mathematics of FMIPA Universitas PadjadjaranDepartment of Mathematics of FMIPA Universitas PadjadjaranDepartment of Mathematics of FMIPA Universitas PadjadjaranIn this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal. This form of decomposition is called Levi decomposition. The work aims to obtain Levi decomposition of Frobenius Lie algebra of dimension 6. To achieve this aim, we compute Levi subalgebra and the maximal solvable ideal (radical) of with respect to its basis. To obtain Levi subalgebra and the maximal solvable ideal, we apply literature reviews about Lie algebra and decomposition Levi in Dagli result. For future research, decomposition Levi for higher dimension of Frobenius Lie algebra is still an open problem.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/15656frobenius lie algebralevi decompositionlie algebraradical. |
| spellingShingle | Henti Henti Edi Kurniadi Ema Carnia Levi Decomposition of Frobenius Lie Algebra of Dimension 6 Cauchy: Jurnal Matematika Murni dan Aplikasi frobenius lie algebra levi decomposition lie algebra radical. |
| title | Levi Decomposition of Frobenius Lie Algebra of Dimension 6 |
| title_full | Levi Decomposition of Frobenius Lie Algebra of Dimension 6 |
| title_fullStr | Levi Decomposition of Frobenius Lie Algebra of Dimension 6 |
| title_full_unstemmed | Levi Decomposition of Frobenius Lie Algebra of Dimension 6 |
| title_short | Levi Decomposition of Frobenius Lie Algebra of Dimension 6 |
| title_sort | levi decomposition of frobenius lie algebra of dimension 6 |
| topic | frobenius lie algebra levi decomposition lie algebra radical. |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/15656 |
| work_keys_str_mv | AT hentihenti levidecompositionoffrobeniusliealgebraofdimension6 AT edikurniadi levidecompositionoffrobeniusliealgebraofdimension6 AT emacarnia levidecompositionoffrobeniusliealgebraofdimension6 |