Classification of category J modules for divergence zero vector fields on a torus

被引：10

作者：

Billig, Yuly

Talboom, John

机构：

来源：

JOURNAL OF ALGEBRA | 2018年 / 500卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Indecomposable representations; Irreducible representations; Lie algebra of vector fields; Weight module; D-DIMENSIONAL TORUS; LIE-ALGEBRAS; IRREDUCIBLE REPRESENTATIONS; DIFFEOMORPHISMS;

D O I：

10.1016/j.jalgebra.2017.05.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a category of modules that admit compatible actions of the commutative algebra of Laurent polynomials and the Lie algebra of divergence zero vector fields on a torus and have a weight decomposition with finite dimensional weight spaces. We classify indecomposable and irreducible modules in this category. (C) 2017 Elsevier Inc. All rights reserved.

引用

收藏

页码：498 / 516

页数：19

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