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2013•Journal of Nanjing University of Posts and TelecommunicationsRequires access

A Class of Solvable Complete Lie Algebras

Hu Wang

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Abstract

In this paper,we mainly study a class of solvable complete Lie algebras. Firstly,we review the basic knowledge of Lie algebras and the basic facts of complete Lie algebras which are used in this paper.Then we classify the nilpotent Lie algebras,and obtain the maximal torus by studying the derivations. Finally,we prove that the constucted Lie algebras are solvable complete Lie algebras.

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What this paper is about

In this paper,we mainly study a class of solvable complete Lie algebras. Firstly,we review the basic knowledge of Lie algebras and the basic facts of complete Lie algebras which are used in this paper.Then we classify the nilpotent Lie algebras,and obtain the maximal torus by studying the derivations. Finally,we prove that the constucted Lie algebras are solvable complete Lie algebras.

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Available abstract

In this paper,we mainly study a class of solvable complete Lie algebras. Firstly,we review the basic knowledge of Lie algebras and the basic facts of complete Lie algebras which are used in this paper.Then we classify the nilpotent Lie algebras,and obtain the maximal torus by studying the derivations. Finally,we prove that the constucted Lie algebras are solvable complete Lie algebras.

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

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