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arXiv · 1608.07908

A family of new simple modules over the Schr\"odinger-Virasoro algebra

Haibo Chen·Yanyong Hong·Yucai Su
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Abstract

In this article, a large class of simple modules over the Schr\"odinger-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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BibTeXRIS

Haibo Chen, Yanyong Hong, Yucai Su. 2016-08-29. A family of new simple modules over the Schr\"odinger-Virasoro algebra. https://arxiv.org/abs/1608.07908

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