Solvable Lie Algebras with Quasifiliform Nilradicals

By Yan Wang, Jie Lin, Shaoqiang Deng. 2008

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The classification of 4-dimensional Leibniz algebras (2013, background): “The investigation of this kind of algebras with some special types of nilradicals comes from different problems in Physics and was the subject of various paper [4,9,11,17,21,22].”
Classification of solvable Leibniz algebras with naturally graded filiform nilradical (2012, background): “The analysis of works devoted to the study of solvable Lie algebras (for example [1, 3, 11, 13, 15], where solvable Lie algebras with various types of nilradical were studied, such as naturally graded filiform and quasi-filiform algebras, abelian, triangular, etc.”
Classification of solvable Leibniz algebras with null-filiform nilradical (2012, background): “The investigation of solvable Lie algebras with some special types of nilradical comes from different problems in Physics and was the subject of various papers [2, 3, 7, 8, 13, 15, 16, 17, 19] and many other references given there.”