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

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.