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2008•Journal of Hebei UniversityRequires access

Inner Derivation Aglebras of(n+1)-dimensional n-Lie Agebras over the Real Field R

Hongwei An

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Abstract

Authors mainly study the classation of(n+1)-dimensional n-Lie algebras over the real field R,and discuss its inner derivation algebras.In particular,we obtain that the inner derivation algebras of simple(n+1)-dimensional n-Lie algebra are Bm,Dm,and Lorents Lie algebra.

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Authors mainly study the classation of(n+1)-dimensional n-Lie algebras over the real field R,and discuss its inner derivation algebras.In particular,we obtain that the inner derivation algebras of simple(n+1)-dimensional n-Lie algebra are Bm,Dm,and Lorents Lie algebra.

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Available abstract

Authors mainly study the classation of(n+1)-dimensional n-Lie algebras over the real field R,and discuss its inner derivation algebras.In particular,we obtain that the inner derivation algebras of simple(n+1)-dimensional n-Lie algebra are Bm,Dm,and Lorents Lie algebra.

Key concepts: Lie algebra, Mathematics, Field (mathematics), Simple (philosophy), Pure mathematics, Lie conformal algebra, Algebra over a field, Killing form

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