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	Composition Series for a Family of Modules of Nongraded Hamiltonial Type Lie Algebras
	Zhao, Yufeng
	2009
关键词	Nongraded Hamiltonial type Lie algebras representations of nongraded Hamiltonial type Lie algebras CARTAN TYPE GRADED MODULES IRREDUCIBLE REPRESENTATIONS DIFFERENTIAL-OPERATORS BLOCK TORUS
英文摘要	Nongraded infinite-dimensional simple Lie algebras of Hamiltonial type were constructed by Xu related to pairs of locally-finite derivations oil certain commutative associative algebras. In this paper, we construct a family of modules with parameters for nongraded Hamiltonial type Lie algebras based oil finite-dimensional irreducible modules of symplectic Lie algebras. When the corresponding modules of symplectic Lie algebras are finite-dimensional irreducible weight modules whose weight spaces are all one-dimensional, we get a composition series for these modules and all explicit construction of the composition series are also given by means of the exterior algebra powers.; Mathematics; SCI(E); 0; ARTICLE; 1; 1-27; 19
语种	英语
出处	SCI
出版者	journal of lie theory
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314528]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhao, Yufeng. Composition Series for a Family of Modules of Nongraded Hamiltonial Type Lie Algebras. 2009-01-01.

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