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2008•Journal of China West Normal UniversityRequires access

Class of Solvable Lie Algebras with a Given Nilradical

Wanjuan Du

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Abstract

In this paper,we have discussed a 3-step nilpotent Lie algebra with a two dimensional center and studyied a class of indecomposable solvable Lie algebras which nilradical is the nilpotent Lie algebra.We have determined the dimension of the solvable Lie algebras and constructed a class of the solvable Lie algebras of 6 dimension over complex field.

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What this paper is about

In this paper,we have discussed a 3-step nilpotent Lie algebra with a two dimensional center and studyied a class of indecomposable solvable Lie algebras which nilradical is the nilpotent Lie algebra.We have determined the dimension of the solvable Lie algebras and constructed a class of the solvable Lie algebras of 6 dimension over complex field.

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Available abstract

In this paper,we have discussed a 3-step nilpotent Lie algebra with a two dimensional center and studyied a class of indecomposable solvable Lie algebras which nilradical is the nilpotent Lie algebra.We have determined the dimension of the solvable Lie algebras and constructed a class of the solvable Lie algebras of 6 dimension over complex field.

Key concepts: Mathematics, Lie conformal algebra, Pure mathematics, Indecomposable module, Adjoint representation of a Lie algebra, Killing form, Lie algebra, Simple Lie group

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