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一类扭形变Schrödinger-Virasoro李代数的自同构群 被引量:1

The Automorphism Group of a Class of Twisted Deformative Schrödinger-Virasoro Lie Algebra
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摘要 对一类带有两个参数的扭形变Schr?dinger-Virasoro李代数L_(λ,μ)进行了研究.计算了当λ∈C,μ?1/3Z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. 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) for λ∈ C,μ?1/3Z is calculated and the relationships between certain subgroups generated by several special automorphisms are discussed. Finally, the structure of the automorphism group Aut(L~λ,μ) is characterized.
作者 徐坤 高寿兰
出处 《常熟理工学院学报》 2016年第2期79-85,共7页 Journal of Changshu Institute of Technology
基金 国家自然科学基金“共型流李代数的结构与表示”(11201141) 国家自然科学基金“几类无限维李代数与超共形代数的研究”(11371134) 浙江省自然科学基金“无限维李代数与顶点算子(超)代数的结构与表示”(LQ12A01005) 浙江省自然科学基金“无限维李代数、李伪代数与共形代数的研究”(LZ14A010001)
关键词 VIRASORO李代数 扭形变Schrödinger-Virasoro李代数 自同构 Virasoro algebra twisted deformative Schrödinger-Virasoro algebra automorphism
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