一类扭形变Schrödinger-Virasoro李代数的自同构群

摘要

In this paper,the authors mainly study the twisted deformative Schrodinger-Virasoro Lie algebra Lλ,μwith two parameters. The automorphisms of one dimensional center extension of L~ λ,μ forλ∈C,μ∉13 Z is cal⁃culated and the relationships between certain subgroups generated by several special automorphisms are dis⁃cussed. Finally, the structure of the automorphism group Aut( L~ λ,μ) is characterized.%对一类带有两个参数的扭形变Schrödinger-Virasoro李代数 Lλ,μ进行了研究。计算了当λ∈C,μ∉13 Z时 L~λ,μ的一维中心扩张的自同构，并讨论了某些特殊的自同构生成的子群之间的关系，最后确定了 L~λ,μ的自同构群 Aut( L~λ,μ)的结构。