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扩张李代数Schrodinger-Virasoro的中心化子研究

Study on Centralizers of the Extended Lie Algebra Schrodinger-Virasoro
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摘要 研究扩张李代数Schrodinger-Virasoro的子空间的中心化子,得到并证明一些子空间的中心化子,如C_(g)(h_(1))={c_(0)M_(0)+C_(0)′N_(0)|c_(0),c_(0)′∈C},C_(g)(h_(3))={∑c_(i)M_(i)|c_(i)∈C,M_(i)∈h_(2),■_(n)∈Z}(i∈Z),发现子空间直和中心化子的规律. The centralizers of subspaces of the extended Lie algebras Schrodinger-Virasoro were studied.The Centralizers of some subspaces such as1hand3h,C_(g)(h_(1))={c_(0)M_(0)+C_(0)′N_(0)|c_(0),c_(0)′∈C},C_(g)(h_(3))={∑c_(i)M_(i)|c_(i)∈C,M_(i)∈h_(2),■_(n)∈Z}(i∈Z),were obtained and proved.The regularities of centralizers of direct sums of subspaces were found.
作者 柴嘉潞 蒋婵 李笛 余德民 刘俊吉 CHAI Jialu;JIANG Chan;LI Di;YU Demin;LIU Junji(School of Mathematics,Hunan Institute of Science and Technology,Yueyang 414006,China)
出处 《湖南理工学院学报(自然科学版)》 CAS 2022年第1期16-19,共4页 Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金 国家自然科学基金项目(11901191) 湖南理工学院研究生科研创新项目(YCX2021A27) 湖南理工学院科研创新团队项目(2019-TD-15)。
关键词 李代数 中心化子 子空间 Lie algebra centralizer subspace
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