An approach to annihilators in the context of vector field Lie algebras

被引：0

作者：

Conley, Charles H. ^{[1
]}

Goode, William ^{[2
]}

机构：

[1] Univ North Texas, Dept Math, Denton, TX 76203 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

EXPOSITIONES MATHEMATICAE | 2025年 / 43卷 / 02期

关键词：

Vector field Lie algebras; Tensor density modules; Annihilators; ENVELOPING ALGEBRA; WITT ALGEBRA;

D O I：

10.1016/j.exmath.2024.125600

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a general method for describing the annihilators of modules of Lie algebras under certain conditions, which hold for some tensor modules of vector field Lie algebras. As an example, we apply the method to obtain an efficient proof of previously known results on the annihilators of the bounded irreducible modules of Vec R. (c) 2024 Elsevier GmbH. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：23

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