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

作　　者：徐润果 许莹 XU Runguo;XU Ying(School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2022年第6期1-8,共8页College Mathematics

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)。

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.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 

分 类 号：O152.5[理学—数学]