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.

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Main Subjects