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arXiv · 2107.03990

Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals

Vu A. Le·Tuan A. Nguyen·Tu T. C. Nguyen·Tuyen T. M. Nguyen·Thieu N. Vo
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Abstract

This paper presents a classification of 7-dimensional real and complex indecomposable solvable Lie algebras having some 5-dimensional nilradicals. Afterwards, we combine our results with those of Rubin and Winternitz (1993), Ndogmo and Winternitz (1994), Snobl and Winternitz (2005, 2009), Snobl and Kar\'asek (2010) to obtain a complete classification of 7-dimensional real and complex indecomposable solvable Lie algebras with 5-dimensional nilradicals. In association with Gong (1998), Parry (2007), Hindeleh and Thompson (2008), we achieve a classification of 7-dimensional real and complex indecomposable solvable Lie algebras.

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Vu A. Le, Tuan A. Nguyen, Tu T. C. Nguyen, Tuyen T. M. Nguyen, Thieu N. Vo. 2021-07-08. Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals. https://arxiv.org/abs/2107.03990

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