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THE UNIQUENESS OF MINIMAL SUBMODULE OF VERMA MODULE OVER LIE SUPERALGEBRAS
作者姓名:戴桂生
作者单位:[2]苏州大学数学系
摘    要:In this paper , we obtain that, if G is either a basic classical Lie superalgebra of I type or G= B(0, n), every Verma module over G has a unique minimal submodule, And this fails for G=F(4).

关 键 词:VERMA模  李超代数  唯一性  最小子模

THE UNIQUENESS OF MINIMAL SUBMODULE OF VERMA MODULE OVER LIE SUPERALGEBRAS
Dai Guisheng Mathematics.THE UNIQUENESS OF MINIMAL SUBMODULE OF VERMA MODULE OVER LIE SUPERALGEBRAS[J].Journal of Suzhou University(Natural Science),1991,7(2):125-127.
Authors:Dai Guisheng Mathematics
Institution:Dai Guisheng Mathematics Department
Abstract:In this paper, we obtain that, if G is either a basic classical Lie superalgebra of I tgpe or G=B(O, n), everg Verma module over G has a unique minimal submodule. And this fails for G=F(4).
Keywords:Verma module  minimal submodule  volume  root system  
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