余德民, 吴伟才, 罗德仁, 柴嘉潞, 李笛. 一类特殊李代数的同构群及子代数的中心[J]. 云南大学学报(自然科学版), 2022, 44(2): 213-217. doi: 10.7540/j.ynu.20210020
引用本文: 余德民, 吴伟才, 罗德仁, 柴嘉潞, 李笛. 一类特殊李代数的同构群及子代数的中心[J]. 云南大学学报(自然科学版), 2022, 44(2): 213-217. doi: 10.7540/j.ynu.20210020
YU De-min, WU Wei-cai, LUO De-ren, CHAI Jia-lu, LI Di. Isomorphism group and subalgebra center of a special Lie algebra[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(2): 213-217. DOI: 10.7540/j.ynu.20210020
Citation: YU De-min, WU Wei-cai, LUO De-ren, CHAI Jia-lu, LI Di. Isomorphism group and subalgebra center of a special Lie algebra[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(2): 213-217. DOI: 10.7540/j.ynu.20210020

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

  • 摘要: 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_10 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_4h_5 同构,并讨论其同构群同构于非零复数群 \bfC^*. 最后证明李子代数 h_10 的中心 C(h_10) = 0.

     

    Abstract: We mainly study the isomorphism, isomorphism group, homomorphism, center and normalizer of some special Lie subalgebras h1, h2, h4, h5 and h10 of extended infinite dimensional Lie algebras Schrodinger-Virasoro. Firstly, we construct the isomorphism of Lie subalgebra h1, and obtain that its isomorphism group is isomorphic to integer plus group. At the same time, we construct and prove that the Lie subalgebras h4 to h5 are isomorphic, and the isomorphism group is isomorphic to non-zero complex group \bfC^*. Finally, it is proved that the center C (h10) = 0.

     

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