无限秩向量场李代数的有界单权模

doi:10.13371/j.cnki.chin.q.j.m.2020.02.007

数学季刊 ›› 2020, Vol. 35 ›› Issue (2): 194-198.doi: 10.13371/j.cnki.chin.q.j.m.2020.02.007

无限秩向量场李代数的有界单权模

收稿日期:2019-12-09 出版日期:2020-06-30 发布日期:2020-09-03

Simple Bounded Weight Modules for the Vector Field Lie Algebras of Infinite Rank

School of Mathematics and statistics, Henan University, Kaifeng 475004, China

Received:2019-12-09 Online:2020-06-30 Published:2020-09-03
Contact: NIU Meng-nan(1995-), male, native of Jincheng, Shanxi, a postgraduate of Henan University, engages in representation theory of Lie algebras.
About author:NIU Meng-nan(1995-), male, native of Jincheng, Shanxi, a postgraduate of Henan University, engages in representation theory of Lie algebras.

摘要/Abstract

Abstract: In this paper, we classify the simple uniformly bounded weight modules for the vector eld Lie algebra W1 of innite rank. It turns out that any such modules are intermediate series modules. This result is very different from the vector eld Lie algebra Wd of nite rank.

Key words: Vector eld Lie algebra, Weight module, Intermediate series module

中图分类号:

O152.5

牛梦楠. 无限秩向量场李代数的有界单权模[J]. 数学季刊, 2020, 35(2): 194-198.

NIU Meng-nan. Simple Bounded Weight Modules for the Vector Field Lie Algebras of Infinite Rank[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(2): 194-198.

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无限秩向量场李代数的有界单权模

Simple Bounded Weight Modules for the Vector Field Lie Algebras of Infinite Rank

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