Graded modules over simple Lie algebras

Q4 Mathematics
Y. Bahturin, M. Kochetov, Abdallah Shihadeh
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引用次数: 2

Abstract

The paper is devoted to the study of graded-simple modules and gradings on simple modules over finite-dimensional simple Lie algebras. In general, a connection between these two objects is given by the so-called loop construction. We review the main features of this construction as well as necessary and sufficient conditions under which finite-dimensional simple modules can be graded. Over the Lie algebra sl2(C), we consider specific gradings on simple modules of arbitrary dimension.
简单李代数上的分级模
本文研究了有限维简单李代数上的分级简单模和简单模上的分级。一般来说,这两个对象之间的连接是由所谓的循环结构给出的。我们回顾了这种构造的主要特征,以及有限维简单模块可以分级的充分必要条件。在李代数sl2(C)上,我们考虑了任意维的简单模上的特定分级。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Revista Colombiana de Matematicas
Revista Colombiana de Matematicas Mathematics-Mathematics (all)
CiteScore
0.60
自引率
0.00%
发文量
7
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