On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras

数学季刊 ›› 1993, Vol. 8 ›› Issue (3): 63-65.

On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras

Institute of Applied Mathematics Zhejiang University

收稿日期:1992-09-30 出版日期:1993-09-30 发布日期:2025-05-29

On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras

Institute of Applied Mathematics Zhejiang University

Received:1992-09-30 Online:1993-09-30 Published:2025-05-29

摘要/Abstract

摘要： There have been a great many of studies on the pointed representations of finite-dimensional sanple Lie algebras.cf.[1][2]etc.In this paper we give a new proof of animpottant Lemma,and from this we derive our main result:Irreducible pointed modules of finite-dimesional simple Lie algebras are all Harish-Chandra modules.

关键词: , Lie algebra, algebra homomorphism

Abstract: There have been a great many of studies on the pointed representations of finite-dimensional sanple Lie algebras.cf.[1][2]etc.In this paper we give a new proof of animpottant Lemma,and from this we derive our main result:Irreducible pointed modules of finite-dimesional simple Lie algebras are all Harish-Chandra modules.

Key words: , Lie algebra, algebra homomorphism

徐祥. On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras[J]. 数学季刊, 1993, 8(3): 63-65.

Xu Xiang. On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(3): 63-65.

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On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras

On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras

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