| 有限型Kac-Moody代数的可积模 |
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| 引用本文： | 靳全勤. 有限型Kac-Moody代数的可积模[J]. 河北大学学报(自然科学版), 1992, 0(2) |
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| 作者姓名： | 靳全勤 |
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| 作者单位： | 河北大学数学系 |
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| 摘 要： | 对一般的Kac-Moody代数g(A),Kac定义了不可约模L(∧),并指出L(∧)是可积分的,当且仅当∧是支配整权。一般说来,g(A)的可积不可约模未必全是L(∧)。本文指出,当g(A)为有限型时,L(∧)(∧为支配整权)取尽了g(A)的可积不可约模。
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| 关 键 词： | 可积模 泛包络代数 |
On the Integrable Modules for the Finite Type Kac-Moody Algebras |
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| Jin Quanqin. On the Integrable Modules for the Finite Type Kac-Moody Algebras[J]. Journal of Hebei University (Natural Science Edition), 1992, 0(2) |
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| Authors: | Jin Quanqin |
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| Affiliation: | Department of Mathematics |
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| Abstract: | Kac defined the irreducible module L(∧)for a Kac-Moody algebra g(A), and indicated that L(∧) is integrable if and only if ∧ is a dominant integral weight .Generaly , an irreducible integrable g(A)-module is not necessarily L(∧).In this paper , we proved that for some dominant integral weights ∧, L (∧) exhausts all irreducible integrable g(A) -modules if g (A) is of finite type . |
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| Keywords: | Integrable module Universal enveloping algebra. |
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