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the lie algebra of differential operators
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     In the present paper, the classification of irreducible Harish-Chandra modules over the associative algebra of differential operators is given, and then the classificiation of irreducible Harish-Chandra modules over the Lie algebra of differential operators with all weight spaces being 1-dimensional is also obtained.
     本文首先讨论了微分算子Lie代数的单性,然后确定出了微分算子Lie代数的权重数都是1的所有不可约Harish-Chandra模。
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  相似匹配句对
     LIE OF CENTURY
     世纪大骗局
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     Lie structures of [S,S]
     [S,S]的李结构
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     Complete Lie Superalgebras
     完备Lie超代数
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     Braided Lie Bialgebras
     辫子李双代数
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     The Notes on n-Lie Algebra
     关于n-Lie代数的几个注记
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  the lie algebra of differential operators
Radul has recently introduced a map from the Lie algebra of differential operators on the circle of Wn.
      
We introduce a Lie bialgebra structure on the central extension of the Lie algebra of differential operators (with scalar or matrix coefficients) on the line and on the circle.
      
We study representations of the central extension of the Lie algebra of differential operators on the circle, the[Figure not available: see fulltext.] algebra.
      
Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
      
We show how methods from cyclic homology give easily an explicit 2-cocycle ? on the Lie algebra of differential operators of the circle such that ? restricts to the cocycle defining the Virasoro algebra.
      
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In the present paper, the classification of irreducible Harish-Chandra modules over the associative algebra of differential operators is given, and then the classificiation of irreducible Harish-Chandra modules over the Lie algebra of differential operators with all weight spaces being 1-dimensional is also obtained.

本文首先讨论了微分算子Lie代数的单性,然后确定出了微分算子Lie代数的权重数都是1的所有不可约Harish-Chandra模。

 
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