| 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 |
| |
| DOI：10.7511/dllgxb202006015 |
| 中文关键词: 李代数 同构 理想 |
| 英文关键词: Lie algebra isomorphisms ideal |
| 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). |
|
| 摘要点击次数: 294 |
| 全文下载次数: 353 |
| 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. |
|
查看全文
查看/发表评论 下载PDF阅读器 |
| 关闭 |
|
|
|