无限秩向量场李代数的有界单权模

牛梦楠

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

数学季刊 >

2020 , Vol. 35 >Issue 2: 194 - 198

DOI: https://doi.org/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

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收稿日期: 2019-12-09

网络出版日期: 2020-09-03

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

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

NIU Meng-nan(1995-), male, native of Jincheng, Shanxi, a postgraduate of Henan University, engages in representation theory of Lie algebras.

Received date: 2019-12-09

Online published: 2020-09-03

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

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

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