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arXiv · 1401.4670

Modules over the Heisenberg-Virasoro and $W(2,2)$ algebras

Hongjia Chen·Xiangqian Guo
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Abstract

In this paper, we consider the modules for the Heisenberg-Virasoro algebra and the W algebra $W(2,2)$. We determine the modules whose restriction to the Cartan subalgebra (modulo center) are free of rank $1$ for the two algebras. We also determine the simplicity of these modules. These modules provide new simple modules for the W algebra $W(2,2)$.

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BibTeXRIS

Hongjia Chen, Xiangqian Guo. 2014-01-19. Modules over the Heisenberg-Virasoro and $W(2,2)$ algebras. https://doi.org/10.1142/s0219498817500979

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