余德民,柴嘉潞,李笛,罗德仁,吴伟才,蒋婵.扩张李代数Schr?dinger-Virasoro子代数生成元和一些李子代数幂零性[J].,2021,61(6):656-660 |
扩张李代数Schr?dinger-Virasoro子代数生成元和一些李子代数幂零性 |
Generators of subalgebras of extended Lie algebra Schr?dinger-Virasoro and nilpotency of some Lie subalgebras |
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DOI:10.7511/dllgxb202106014 |
中文关键词:李代数同构子代数 |
英文关键词:Lie algebraisomorphismssubalgebra |
基金项目:国家自然科学基金资助项目(11901191);湖南省自然科学基金资助项目(2020JJ5210);湖南理工学院科研创新团队资助项目(2019TD15);2021年湖南省研究生科研创新项目(YCX2021A27) |
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中文摘要: |
研究了扩张无限维李代数Schr?dinger-Virasoro子代数的生成元.证明了李子代数h2与商李代数h5/h2都无有限生成元,李代数Schr?dinger-Virasoro有有限生成元且生成元可为5.最后证明了李子代数h5为幂零子代数. |
英文摘要: |
The generators of subalgebras of the extended infinite dimensional Lie algebra Schr?dinger-Virasoro are studied. It is proved that neither the Lie subalgebra h2 nor the quotient Lie algebra h5/h2 has finite generators. The Lie algebra Schr?dinger-Virasoro has finite generators and the generators can be 5. Finally, it is proved that the Lie subalgebra h5 is a nilpotent subalgebra. |
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