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.