科研之友
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摘要
In this article, a large class of simple modules over the Schrodinger-Virasoro algebra g are constructed, which include highest weight modules and Whittaker modules. These modules are determined by the simple modules over the finite dimensional quotient algebras of some subalgebras. Moreover, we show that all simple modules of g with locally finite actions of elements in a certain positive part belong to this class of simple modules. Similarly, a large class of simple modules over the W-algebra W(2, 2) are constructed.
