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与广义Witt代数有关的非有限分次李代数的极大子代数及其性质
Maximal Subalgebras and Properties of the Non-Finite Graded Lie Algebra Related to Generalized Witt Algebras
【摘要】 代数的极大子代数可以深刻的反映代数的内部特征.对于非有限分次李代数W,利用李代数的特性构造出3个极大子代数,研究了相关性质,并且证明了前两个极大子代数是同构的.
【Abstract】 Maximal subalgebras of algebras can profoundly reflect the internal characteristics of algebras. For the non-finite graded Lie algebra, three maximal subalgebras are constructed by using the characteristics of Lie algebras, and the related properties are studied. It is proved that the first two maximal subalgebras are isomorphic.
【关键词】 Witt代数;
非有限分次李代数;
极大子代数;
单李代数;
可解李代数;
【Key words】 generalized Witt algebra; non-finite graded Lie algebra; maximal subalgebras; simple Lie algebra; solvable Lie algebra;
【Key words】 generalized Witt algebra; non-finite graded Lie algebra; maximal subalgebras; simple Lie algebra; solvable Lie algebra;
【基金】 国家自然科学基金面上项目(12171132);安徽省自然科学基金面上项目(2008085MA05)
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2022年06期
- 【分类号】O152.5
- 【下载频次】11