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Issue: Vol. 15 No. 5 (2026): Natural Sciences Issue (English)
Section: Natural Sciences Issue (English)
DOI: 10.52714/dthu.ns.2305.1834
Date Published: 27/04/2026
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Le, M. K., Pham, Q. T., & Nguyen, T. M. T. (2026). Classification of 8-dimensional solvable Lie algebras having 6-dimensional Abelian nilradicals. Dong Thap University Journal of Science, 15(5), 60-72. https://doi.org/10.52714/dthu.ns.2305.1834

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Classification of 8-dimensional solvable Lie algebras having 6-dimensional Abelian nilradicals

Minh Kha Le1, Quoc Thai Pham1, Thi Mong Tuyen Nguyen2,
1 Student, Dong Thap University, Cao Lanh 870000, Vietnam
2 Faculty of Mathematics- Information Teacher Education, School of Education, Dong Thap University, Cao Lanh 870000, Vietnam

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Abstract

In this paper, we classify complex and real 8-dimensional solvable Lie algebras having a 6-dimensional abelian nilradical. The method is based on the fact that a given solvable Lie algebra L can be considered as an extension of its nilradical N(L), that is, the maximal nilpotent ideal of L. Therefore, we begin from a 6-dimensional abelian nilradical Lie algebra and, subsequently, we construct and classify all 8-dimensional solvable Lie algebras that admit it as their nilradical.

Keywords

Abelian nilradical, Lie algebra, Nilradical Lie algebra, Solvable Lie algebra

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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