# Solvable Lie algebras with $N(R_n,m,r)$ nilradical

Document Type : Research Paper

Author

Department of Mathematics and Informations‎, ‎China West Normal University‎, ‎P.O.Box 637000‎, ‎Nanchong‎, ‎P‎. ‎R‎. ‎China

Abstract

In this paper, we classify the indecomposable non-nilpotent solvable Lie algebras with $N(R_n,m,r)$ nilradical,by using the derivation algebra and the automorphism group of $N(R_n,m,r)$.We also prove that these solvable Lie algebras are complete and unique, up to isomorphism.

Keywords

Main Subjects

### History

• Receive Date: 14 November 2013
• Revise Date: 20 June 2014
• Accept Date: 21 June 2014