Based on the generalization of Lie algebra An- 1, two types of new Lie algebras were worked out and the integrability of the related hierarchies of evolution equations were proved in the sense of Liouville.
In this paper we mainly study derivation algebras of n-Lie algebras. We give the detailed structural description of derivation algebras of n + 1 dimensional n-Lie algebras over the real field.
基金Project supported by the Shanghai Leading Academic Discipline Project (Grant No.J50101)the Science Foundation of Shanghai Municiple Commission of Education (Grant No.06AZ081)
文摘Based on the generalization of Lie algebra An- 1, two types of new Lie algebras were worked out and the integrability of the related hierarchies of evolution equations were proved in the sense of Liouville.
基金the National Natural Science Foundation of China （No. 10871192） and the Natural Science Foundation of Hebei Province （No. A2007000138）.
文摘In this paper we mainly study derivation algebras of n-Lie algebras. We give the detailed structural description of derivation algebras of n + 1 dimensional n-Lie algebras over the real field.
