2010•Journal of Zhoukou Normal UniversityRequires access

A class of solvable Lie algebras with a given nilradical

Yuwang Hu

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Abstract

Any solvable Lie algebra S has a unique nilradical N.Assume N is a given nilpotent Lie algebra,dim N=6.All indecomposable solvable Lie algebras with N as their nilradical were obtained.Their dimension is at most 8.

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What this paper is about

Any solvable Lie algebra S has a unique nilradical N.Assume N is a given nilpotent Lie algebra,dim N=6.All indecomposable solvable Lie algebras with N as their nilradical were obtained.Their dimension is at most 8.

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Available abstract

Any solvable Lie algebra S has a unique nilradical N.Assume N is a given nilpotent Lie algebra,dim N=6.All indecomposable solvable Lie algebras with N as their nilradical were obtained.Their dimension is at most 8.

Key concepts: Mathematics, Pure mathematics, Lie conformal algebra, Lie algebra, Adjoint representation of a Lie algebra, Indecomposable module, Simple Lie group, Class (philosophy)

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