| 一类无限维滤过李代数 |
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| 引用本文： | 杨锡安,苏育才.一类无限维滤过李代数[J].厦门大学学报(自然科学版),1990,29(1):24-28. |
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| 作者姓名： | 杨锡安 苏育才 |
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| 作者单位： | 厦门大学数学系
(杨锡安)，中国科学院系统科学研究所(苏育才) |
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| 摘 要： | 研究了复数域上一类无限维滤过李代数,它的相联阶化李代数是由所有微分算子或所有导子算子所成的李代数,获得这样的滤过李代数同构于它的相联阶化李代数的充分与必要条件。
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| 关 键 词： | 滤过李代数 阶代李代数 微分算子 |
Some Infinite Dimensional Filtered Lie Algebras |
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| Yang Xi''''an Su Yucai.Some Infinite Dimensional Filtered Lie Algebras[J].Journal of Xiamen University(Natural Science),1990,29(1):24-28. |
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| Authors: | Yang Xi'an Su Yucai |
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| Abstract: | Some infinite dimensional filtered Lie algebras over the complex field Cwhose associated graded Lie algebras are the Lie algebras G(A),the Lie algebra of all differential operators, the Lie algebra of all derivative operators.and so on are discussed.lt has been obtained a sufficient and necessary condition for those filtered Lie algebras to be isomorphic to their associated graded Lie algebras. |
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| Keywords: | Filtered Lie algebras Graded Lie algebras Differential operator Derivative operators |
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