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2011•Journal of Xinyang Normal UniversityRequires access

All the Solvable Extensions of a Class of Nilpotent Lie Algebras

Yuwang Hu

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Abstract

All the solvable Lie algebras S with nilpotent Lie algebra N as their nilradical are obtained.The results show that the dimensions of solvable Lie algebras are no more than dim N+2.

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What this paper is about

All the solvable Lie algebras S with nilpotent Lie algebra N as their nilradical are obtained.The results show that the dimensions of solvable Lie algebras are no more than dim N+2.

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Available abstract

All the solvable Lie algebras S with nilpotent Lie algebra N as their nilradical are obtained.The results show that the dimensions of solvable Lie algebras are no more than dim N+2.

Key concepts: Mathematics, Nilpotent, Lie algebra, Pure mathematics, Class (philosophy), Adjoint representation of a Lie algebra, Lie conformal algebra, Killing form

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