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| GRADED MODULES OF GRADED LIE ALGEBRAS OF CART AN TYPE (III)—IRREDUCIBLE MODULES |
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Citation： |
Shen Guangyu.GRADED MODULES OF GRADED LIE ALGEBRAS OF CART AN TYPE (III)—IRREDUCIBLE MODULES[J].Chinese Annals of Mathematics B,1988,9(4):404~417 |
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Net amount： 881 |
Authors： |
Shen Guangyu; |
Foundation： |
Supported by National Natural Science Foundation Grant No. 1860432. |
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| Abstract： |
Over a field of characteristic$\[ \ne 2\]$, 3, all irreducible positive and negative graded modules
of simple Lie algebras $\[L(n)\]$ and $\[L(n,m)\]$ of Cartan typs $\[W,S\]$, and H are determined.
Further, all irreducible positive and negative filtered modules of $\[L(n,m)\]$ are determined.For $\[L(n)\]$, every irreducible negative filtered module is a negative graded module, but there exist irreducible positive filtered modules which are not graded. |
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