Schrödinger-Virasoro代数上的一族新单模
A family of new simple modules over the Schrödinger-Virasoro algebra
摘要：
本文构造了Schrödinger-Virasoro代数$\mathcal{G}$上的一大类单模，其中包括最高权模和Whittaker模.这些模由某些子代数的有限维商代数上的单模所决定。此外，我们还证明了$\mathcal{G}$的所有单模都属于这类单模。类似地，构造了$W$ -代数$W(2,2)$上的一大类单模.
英文摘要：
In this article, a large class of simple modules over the Schrödinger-Virasoro algebra $\mathcal{G}$ 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 $\mathcal{G}$ 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.
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