A Family of Non-weight Modules over the Virasoro Algebra

• 作者: Guobo Chen
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 807-820
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S100538672000067X

摘要

In this paper,we consider the tensor product modules of a class of non-weight modules and highest weight modules over the Virasoro algebra.We determine the necessary and sufficient conditions for such modules to be simple and the isomorphism classes among all these modules.Finally,we prove that these simple non-weight modules are new if the highest weight module over the Virasoro algebra is non-trivial.