Composition Series for a Family of Modules of Nongraded Hamiltonial Type Lie Algebras

被引:0
作者
Zhao, Yufeng [1 ]
机构
[1] Peking Univ, Sch Math Sci, LAMA, Beijing 100871, Peoples R China
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;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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.
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页码:1 / 27
页数:27
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