余德民,李笛,柴嘉潞,罗德仁.扩张Schrodinger-Virasoro李代数及其一些子代数研究[J].,2020,60(6):663-666 |
扩张Schrodinger-Virasoro李代数及其一些子代数研究 |
Study of extension Schrodinger-Virasoro Lie algebra and some subalgebras |
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DOI:10.7511/dllgxb202006015 |
中文关键词:李代数同构理想 |
英文关键词:Lie algebraisomorphismsideal |
基金项目:国家自然科学基金资助项目(1177113511901191);湖南理工学院科研创新团队资助项目(2019-TD-15). |
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中文摘要: |
研究了无限维李代数Schrodinger-Virasoro的性质,这类李代数是Virasoro李代数的推广.研究了这类李代数同构及其李子代数的一些性质,例如李子代数g-、g0-,且g-g0-g.进一步研究了其李子代数g2、g3,证明g3是g的无限维交换理想,从而证明了李代数Schrodinger-Virasoro不是半单李代数,也不是单李代数. |
英文摘要: |
The properties of infinite dimensional Lie algebra Schrodinger-Virasoro, which is a generalization of Virasoro Lie algebra are studied. The isomorphism and some properties of its Lie subalgebras are also studied. For example, Lie subalgebras g-, g0-, and g-g0-g. Lie subalgebras g2, g3 of g, g3 is proved an infinite dimensional commutative ideal of g, and then it is proved that Lie algebra Schrodinger-Virasoro is not a semi-simple Lie algebra or a simple Lie algebra. |
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