一类特殊李代数的同构群及子代数的中心

Isomorphism group and subalgebra center of a special Lie algebra

主要研究扩张无限维李代数Schrodinger-Virasoro的一些特殊李子代数h_(1),h_(2),h_(4),h_(5),h_(1)0的同构、同构群、同态、中心和正规化子,首先构造李子代数h_(1)的同构,得到其同构群同构于整数加群,同时构造并证明李子代数h_(4)到h_(5)同构,并讨论其同构群同构于非零复数群C*.最后证明李子代数h_(1)0的中心C(h_(1)0)=0.

We mainly study the isomorphism,isomorphism group,homomorphism,center and normalizer of some special Lie subalgebras h_(1),h_(2),h_(4),h_(5)and h_(1)0 of extended infinite dimensional Lie algebras SchrodingerVirasoro.Firstly,we construct the isomorphism of Lie subalgebra h_(1),and obtain that its isomorphism group is isomorphic to integer plus group.At the same time,we construct and prove that the Lie subalgebras h_(4)to h_(5)are isomorphic,and the isomorphism group is isomorphic to non-zero complex group C*.Finally,it is proved that the center C(h_(1)0)=0.