A class of simple weight modules over the twisted Heisenberg-Virasoro algebra

被引：5

作者：

Chen, Haibo ^{[1
]}

Han, Jianzhi ^{[1
]}

Su, Yucai ^{[1
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 10期

关键词：

CLASSIFICATION;

D O I：

10.1063/1.4965877

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of weight modules M(V, a) over the twisted Heisenberg-Virasoro H are constructed, which includes modules of intermediate series, where V is an (H) over bar (r,d)-module and a is a complex number. We give the necessary and sufficient conditions under which these modules are simple and also determine all the equivalent simple modules in this class. Moreover, we show that simple modules in this class are new. Finally, we construct a class of new simple non-weight H-modules. Published by AIP Publishing.

引用

页数：7

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